Simplify

Problem 2301

$\frac{8}{5} \div 4$

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Problem 2302

$\frac{5}{4} \cdot-\frac{10}{3}$

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Problem 2303

Fully simplify the following: a) $-2 t \times u \times 8$ b) $6 d \times-3 f$

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Problem 2304

\begin{align} \text{a) } & \frac{75}{5 \sqrt{3}} ; \frac{42}{7 \sqrt{2}} ; \frac{18}{3 \sqrt{2}} ; \frac{45}{5 \sqrt{3}} ; \frac{36}{4 \sqrt{3}} ; \frac{24}{2 \sqrt{6}} ; \frac{6}{3 \sqrt{2}} ; \frac{15}{\sqrt{3}}; \\ \text{b) } & \frac{28}{4 \sqrt{7}} ; \frac{24}{4 \sqrt{6}} ; \frac{18}{6 \sqrt{3}} ; \frac{36}{6 \sqrt{6}} ; \frac{54}{9 \sqrt{6}} ; \frac{72}{9 \sqrt{8}} ; \frac{30}{15 \sqrt{2}} ; \frac{42}{6 \sqrt{7}}; \\ \text{c) } & \frac{8}{3 \sqrt{2}} ; \frac{6}{\sqrt{3}} ; \frac{24}{5 \sqrt{6}} ; \frac{15}{2 \sqrt{3}} ; \frac{4}{3 \sqrt{2}} ; \frac{28}{3 \sqrt{7}} ; \frac{12}{5 \sqrt{2}} ; \frac{10}{3 \sqrt{5}}; \\ \text{d) } & \frac{12}{5 \sqrt{6}} ; \frac{15}{5 \sqrt{3}} ; \frac{18}{\sqrt{24}} ; \frac{25}{4 \sqrt{5}} ; \frac{15}{2 \sqrt{5}} ; \frac{30}{7 \sqrt{6}} ; \frac{45}{2 \sqrt{10}} ; \frac{8}{3 \sqrt{6}} ; \frac{9}{2 \sqrt{6}}; \\ \text{e) } & \frac{18}{2 \sqrt{6}} ; \frac{45}{5 \sqrt{3}} ; \frac{3}{\sqrt{12}} ; \frac{9}{\sqrt{27}} ; \frac{12}{\sqrt{48}} ; \frac{24}{10 \sqrt{6}} ; \frac{15}{3 \sqrt{6}} ; \frac{18}{3 \sqrt{54}}. \end{align}

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Problem 2305

Express $(x+4)^{2}$ as a trinomial in standare
Answer Attempt 1 out of 2

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Problem 2306

expression completely. $-60 x^{4}+54 x$

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Problem 2307

Aufgabe 12 Gib als die Potenz in der Wurzelschreibweise an. a) $7^{\frac{9}{5}}=\sqrt[5]{7^{9}}$ b) $b^{0,4}=\sqrt[5]{b^{2}}$ c) $9^{-\frac{1}{7}}=\sqrt{9}$ $9-\frac{1}{7}$

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Problem 2308

Find the partial fraction decomposition of the given rational expression. $\frac{6}{x(x-3)}$

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Problem 2309

Gegeben sind verschiedene Funktionen w(t), die immer den Bestand von Keimen in Abhangigkeit von de: if t darstellen.
Aufgabe 1 Formen Sie die Funktionsgleichung handschriftlich for gegebene Werte w(t) nach der Variablen t um. Verwenden Sie ihren Taschenrechner erst nach der Umformung. (Vorbereitung oHimi-Teil der Klausur) a) $w(t)=0,024 \cdot e^{2-t}$ for $w(t)=50$ b) $w(t)=0,024 \cdot e^{\frac{2}{2} t}$ for $w(t)=50$ c) $w(t)=0,024 \cdot e^{2 t}+20$ for $w(t)=120$
Aufgabe 2 Formen Sie die Funikionsgieichung handschnfflich for gegebene Werie w(t) nach der Variabien t um. Verwenden Sie ihren Taschenrechner erst nach der Umformung. (Vorberetung oHimi-Teil der Kausuri) a) $w(t)=0,024 \cdot 2^{t}$ för $w(t)=32,5$ b) $w(t)=0,024 \cdot 5^{2 t}$ für $w(t)=\frac{175}{2}$ c) $w(t)=0,024 \cdot\left(\frac{2}{7}\right)^{t}+25$ für $w(t)=50$
Autgabe 3 Formen Sie die Funktionsgleichung nach x um. a) $50=x \cdot e^{4}$ b) $52=4 \cdot e^{x}-4$ c) $50=x \cdot e^{5}-4$

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Problem 2310

(b) $\frac{\sqrt[5]{128 x^{8}}}{\sqrt[5]{2 x^{2}}}$ $\square$ Question Help: Message instructor

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Problem 2311

(a) $\sqrt[5]{\frac{96 r^{11}}{s^{5}}}$ $\frac{2 r^{3} \sqrt[3]{12}}{s^{1} s^{\frac{2}{3}}}$ (b) $\sqrt[6]{\frac{128 u^{7}}{v^{12}}}$

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Problem 2312

Question
Select the equivalent expression. $\sqrt[3]{\frac{k^{8}}{k^{-4}}}$

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Problem 2313

$30 \cdot(6-4)$

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Problem 2314

$45-2 \times(15-3)$

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Problem 2315

Multiply: $4 \sqrt{2}(5 \sqrt{10}-\sqrt{6})$

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Problem 2316

WRITE EXPRESSION AS SINGLE LOGARITHM: A) $2 \log 2+3 \log x-\frac{1}{2}[\log (x+3)+\log (x-2)]$

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Problem 2317

Factorice mediante la fórmula para la suma o diferencia de dos cubos.
51. $a^{3}+125$
52. $x^{3}-27$
53. $64-a^{3}$

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Problem 2318

$\frac{48}{\sqrt{162}}, \quad \frac{84}{\sqrt{48}}, \quad \frac{56}{\sqrt{112}}, \quad \frac{-42}{\sqrt{84}}, \quad \frac{36}{2 \sqrt{18}}, \quad \frac{-20}{\sqrt{40}}, \quad \frac{24}{\sqrt{288}}, \quad \frac{-56}{\sqrt{126}}$

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Problem 2319

$-2\left[14-3(6-1)^{2}\right]$

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Problem 2320

Factor the following expression completely: $40 w^{16}+40 w^{11}+15 w^{4}=$ $\square$

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Problem 2321

Rewrite the equation in exponential form. $\ln (w)=n$ $\square$

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Problem 2322

Factor the following expression completely: $6 x^{2}+5 x-4=$

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Problem 2323

1 2 3 4 5 8 7 \ $5 11.$ \square$
Which expression is equivalent to $\left(64 y^{100}\right)^{\frac{1}{2}}$ ? $8 y^{10}$ $8 y^{50}$ $32 y^{10}$ $32 y^{50}$ Mark this and return Viewers/AssessmentViewer/Activit.

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Problem 2324

Factor completely; simplify if possible. $9 x^{2}+48 x+64=$

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Problem 2325

Use radical notation to rewrite the following expression. Simplify, if possible. $(-125)^{\frac{1}{3}}$
Rewrite the expression using radical notation. $(-125)^{\frac{1}{3}}=\square$ $\square$ (Do not simplify. Type an exact answer, using radicals as needed.) Now simplify. $(-125)^{\frac{1}{3}}=$ $\square$ (Simplify your answer.)

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Problem 2326

Add and/or subtract and then simplify completely: $\frac{5 r}{r^{2}-9}+\frac{8}{r-3}$
Enter the numerator and denominator separately in the boxes below. If the denominator is 1 , enter the number 1. Do not leave either box blank. Answer: $\square$ $\square$ Numerator preview: Denominator preview:

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Problem 2327

Simplify $\frac{x-3}{x-4}-\frac{6 x-16}{x^{2}-16}$

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Problem 2328

Simplify the expression completely: $\frac{z^{2}}{\left(z^{4}\right)^{6}}=$ $\square$

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Problem 2329

(1) $\frac{4 x-1}{6}+\frac{4 x-5}{3}$

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Problem 2330

Write the equation in the form $a x^{2}+b x+c=0$ . Then identify the values of $a, b$ , and $c$ . $2 x^{2}-x=-4$
Part 1 of 4 $2 x^{2}-x=-4$ in the form $a x^{2}+b x+c=0$ is $2 x^{2}-x+4=0$ .
Part: 1 / 4
Part 2 of 4 $2 x^{2}-x+4=0$ is in the form $a x^{2}+b x+c=0$ , where $a=$ $\square$

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Problem 2331

Evaluate the function $f(r)=\sqrt{r+3}+9$ at the given values of the independent variable and simplify. a. $f(-3)$ b. $\mathrm{f}(97)$ c. $f(x-3)$ a. $f(-3)=$ $\square$ (Simplify your answer.)

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Problem 2332

properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\begin{array}{l} \log _{6}(11 \cdot 5) \\ g_{6}(11 \cdot 5)= \end{array}$ $\square$

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Problem 2333

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\log (10 x)$ $\square$

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Problem 2334

What is $(f-g)(x)$ ? $\begin{array}{l} f(x)=-x \\ g(x)=4 x+1 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

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Problem 2335

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\begin{array}{c} \log (100,000 y) \\ \log (100,000 y)= \end{array}$ $\square$

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Problem 2336

1) Simplify. a) $\sin x\left(\frac{1}{\cos x}\right)$ b) $(\cos x)(\sec x)$ c) $1-\cos ^{2} x$ d) $1-\sin ^{2} x$ e) $\frac{\tan x}{\sin x}$ f) $(1-\sin x)(1+\sin x)$ g) $\left(\frac{1}{\tan x}\right) \sin x$ h) $\frac{1+\tan ^{2} x}{\tan ^{2} x}$ i) $\frac{\sin x \cos x}{1-\sin ^{2} x}$ j) $\frac{1-\cos ^{2} x}{\sin x \cos x}$

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Problem 2337

Write the quadratic equation in standard form: $-7 x+15=4 x^{2}$

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Problem 2338

$15 \sin ^{4} x=$ $\square$ (Simplify your answer. Use integer

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Problem 2339

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefricients $5 \log _{b} x+3 \log _{b} z$ $\square$

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Problem 2340

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Evaluate logarithmic expressions if possible. $\begin{array}{l} 7 \ln x-\frac{1}{8} \ln y \\ 7 \ln x-\frac{1}{8} \ln y=\square \end{array}$

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Problem 2341

Étant donné $a=\log _{b}(16)$
Exprime $\log _{b}(8 b)$ en fonction de a

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Problem 2342

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Where possible, evaluate logarithmic expressions. $\begin{array}{c} \log x+\log \left(x^{2}-4\right)-\log 5-\log (x+2) \\ \log x+\log \left(x^{2}-4\right)-\log 5-\log (x+2)= \end{array}$ $\square$ (Simplify your answer.)

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Problem 2343

What is $(f+g)(x)$ ? $\begin{array}{l} f(x)=-2 x^{2}-4 x \\ g(x)=3 x+1 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

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Problem 2344

Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. $\ln \left[\frac{x^{5} \sqrt{x^{2}+5}}{(x+5)^{4}}\right]$ $\ln \left[\frac{x^{5} \sqrt{x^{2}+5}}{(x+5)^{4}}\right]=$

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Problem 2345

What is $(f+g)(x)$ ? $\begin{array}{l} f(x)=-2 x^{2}+6 x-4 \\ g(x)=-x^{2}+8 x \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

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Problem 2346

$-18.4 s \leq-19.74-18.6 s$
Write your answer with s first, followed by an inequality symbol. $\square$ Submit

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Problem 2347

What is $(f-g)(x)$ ? $\begin{array}{l} f(x)=-3 x^{2}-9 x-6 \\ g(x)=x+2 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

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Problem 2348

Which of the following equations is equivalent to $3^{(x+5)}=7$ ?
Select one: a. $\log _{7} 3=x+5$ b. $\log _{7}(x+5)=3$ c. $\log _{3} 7=x+5$ d. $\log _{3}(x+5)=7$
When written as a single logarithm, the expression $\log _{3} 27-\left(\frac{1}{3}\right) \log _{3} 27$ becomes:
Select one: a. $\quad \log _{3} 24$ b. $\log _{3} 3$ c. $\log _{3} 9$ d. $\log _{3} 18$

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Problem 2349

The volume of a rectangular room, in cubic yards, is given by $V(x)=x(6 x)(x-3)=6 x^{3}-18 x^{2}$ where $x$ is in yards. Write a function for the volume in cubic feet if $x$ is still in yards.
If $x$ is in yards, then the function $V(x)=$ $\square$ gives the volume in cubic feet. (Simplify your answer. Do not factor.)

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Problem 2350

Simplify the radical expression, where $n$ is an even positive integ $\sqrt[n]{x^{3 n+1}}$
Write your answer in the form $A, \sqrt[n]{B}$ , or $A \sqrt[n]{B}$ , where $A$ and $B$ al in x . Use at most one radical in your answer, and at most one ab expression for A . $\square$

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Problem 2351

Simplify. $\frac{y^{2}-4 y-32}{2 y^{2}-4 y-48}$

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Problem 2352

$3 \log _{3} 27+10 \log 1000$

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Problem 2353

Question
Factor the expression completely. $63-54 x$

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Problem 2354

8. $\frac{\frac{x^{2}}{\sqrt{x^{2}+2}}-\sqrt{x^{2}+2}}{x^{2}}$

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Problem 2355

8. $\frac{\frac{x^{2}}{\sqrt{x^{2}+2}}-\sqrt{x^{2}+2}}{x^{2}}$

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Problem 2356

Factor $27 r$ - 9. Write your answer as a product with whole number areater than 1.

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Problem 2357

Rationalize the denominator and simplify. $\sqrt{\frac{2}{11}}$

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Problem 2358

Simplify. $-\frac{1}{4}\left[\begin{array}{ll} 12 & -20 \\ 28 & -12 \end{array}\right]$

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Problem 2359

Write the following in simplified radical form. $\sqrt[3]{16}$

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Problem 2360

Use properties of logarithms to rewrite the given expression as the logarithm of a single quantity, then enter that single quantity in the answer box to complete the expression. $\begin{array}{l} 3 \log (x)+\frac{1}{5} \log (y)-2 \log (z) \\ \log (\square) \end{array}$

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Problem 2361

$\frac{8}{10}-\frac{3}{5}=--$

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Problem 2362

10) $28 n^{4}+16 n^{3}-80 n^{2}$

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Problem 2363

Question 5
Multiply and put it in simplest form. 5) $41 / 3 \times 21 / 4$ $2 / 7$ $6 / 7$
9. $3 / 4$ $83 / 4$

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Problem 2364

14) $x^{4}-16$

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Problem 2365

14) $x^{4}-16$

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Problem 2366

$f(x)=\frac{6 x^{2} \cdot \sqrt[3]{x^{5}}+4 x \cdot \sqrt[3]{x^{5}}-7 \cdot \sqrt[3]{x^{5}}}{5 \cdot \sqrt[3]{x^{5}}}$

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Problem 2367

$=-\frac{1}{5}-\frac{\frac{1}{25}+\frac{1}{125}+2}{-\frac{3}{25}-\frac{2}{5}}$

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Problem 2368

Dertuelr $f(x)=\frac{6 x^{2} \cdot \sqrt[3]{x^{5}}+4 x \cdot \sqrt[3]{x^{5}}-7 \cdot \sqrt[5]{x^{5}}}{5 \cdot \sqrt[3]{x^{5}}}$

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Problem 2369

15) $9 p^{2} r+73 p r+70 r$

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Problem 2370

Calculate $\frac{\left(2.72 \times 10^{-5}\right)\left(3.11 \times 10^{9}\right)}{\left(1.99 \times 10^{3}\right)\left(2.44 \times 10^{-11}\right)}$ .

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Problem 2371

Simplify the expression $(-11 x+31 y)-2(-x+5 y)$ and find its equivalent form. Choose from: A) $-13 x+21 y$ , B) $-13 x+36 y$ , C) $-9 x+21 y$ , D) $-9 x+36 y$ .

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Problem 2372

Completely factor the expression: $21x - 6$ .

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Problem 2373

Convert the angle $38.32^{\circ}$ to degrees, minutes, and seconds.

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Problem 2374

Find the expression for $B - 2C$ in standard form, given $B = -t - 1$ and $C = 3t - 2$ .

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Problem 2375

Simplify: $\sqrt[3]{320 x^2 y^{5}}$ . Choose the correct option: a, b, c, or d.

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Problem 2376

Simplify: $\sqrt{98 m^{5}} + 4 \sqrt{18 m^{5}}$ . Choose the correct answer: a, b, c, or d.

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Problem 2377

Simplify: (2+√10)(7+√10). Choose one: a. 14+2√10 b. 24+9√10 c. 14+9√10 d. 114+9√10

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Problem 2378

Simplify: $\sqrt[4]{14 k^{3}} \cdot \sqrt[4]{8 k^{5}}$ . Choose the correct option: a, b, c, or d.

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Problem 2379

Simplify: $\frac{\sqrt[3]{-270 p^{14}}}{\sqrt[3]{2 p^{2}}}$ . Choose the correct answer from the options.

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Problem 2380

Simplify: $\frac{6}{5-\sqrt{7}}$ . Choose the correct answer: a. $\frac{5+\sqrt{7}}{3}$ b. $\frac{5+\sqrt{7}}{6}$ c. $\frac{5+\sqrt{7}}{18}$ d. $15+3 \sqrt{7}$ .

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Problem 2381

Find the equivalent expression for $(m^{\frac{16}{3}})^{\frac{1}{4}}$ . Options: a. $\sqrt[4]{m^{3}}$ , b. $m \sqrt[4]{m^{3}}$ , c. $m \sqrt[3]{m}$ , d. $m^{2} \sqrt[3]{m}$ .

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Problem 2382

Find the equivalent expression for $\frac{9^{\frac{5}{2}}}{9^{4}}$ . Choose from: a. 27, b. 3, c. $\frac{1}{27}$ , d. $\frac{1}{3}$ .

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Problem 2383

Convert $92.6\%$ to its simplest fraction form and decimal equivalent.

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Problem 2384

What is the equivalent expression for $4 \sqrt{-36}$ ? Choose from: a. $72 i$ , b. $24 i$ , c. $12 i$ , d. $144 i$ .

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Problem 2385

Simplify: $(7-2 i)^{2}-(25-12 i)$ . Choose the correct answer: a. $28+21 i$ , b. $28-16 i$ , c. $20-40 i$ , d. $20-16 i$ .

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Problem 2386

Simplify: $\frac{5}{2-i}$ . Choose the correct answer: a. $2+i$ , b. $\frac{10+5 i}{3}$ , c. $2-i$ , d. $\frac{10-5 i}{3}$ .

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Problem 2387

What is the complete factorization of $81 w^{8}-36 w^{4}$ ? Choose the correct option.

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Problem 2388

Calculate the value of $\left(2^{3}\right)^{-2}$ .

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Problem 2389

An ecology center has 260 m of fencing for a rectangular area of 4000 m². Find length $x$ and width. Express width in terms of $x$ .

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Problem 2390

A dartboard has area $81 \pi x^{2}$ .
(a) Find the probability of hitting area $\pi x^{2}$ as a rational expression in $x$ .
(b) Simplify the expression $\frac{\pi x^{2}}{\pi 81 x^{2}}$ .

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Problem 2391

Simplify the following square roots: $\sqrt{81}$ , $\sqrt{9}$ , and express $9\sqrt{2}$ .

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Problem 2392

Si $m+n=mn=5$ , encuentra $\frac{m^{2}+n^{2}+5}{m^{3}+n^{3}+10}$ .

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Problem 2393

Find the value of $\sqrt{1}$ .

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Problem 2394

Express the following ratios as simplified fractions: 1) 169 to 2288 2) 22 to 132 3) 143 to 1183

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Problem 2395

Calculate $6^{2} \cdot 2$ .

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Problem 2396

Express the number 100,203 in both expanded form and word form.

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Problem 2397

Calculate the following expressions:
1. $(-2)^{6}$
2. $-2^{6}$
3. $(-3)^{0}$
4. $-3^{0}$
5. $4^{-3}$
6. $2^{2} \cdot 2^{3}$
7. $\left(2^{2}\right)^{3}$
8. $\frac{2^{8}}{2^{4}}$
9. $3^{-3} \cdot 3$
10. $\frac{2^{3}}{2^{7}}$

See Solution

Problem 2398

Simplify these exponential expressions: $x^{-2} y$ , $x y^{-3}$ , $x^{0} y^{5}$ , $x^{3} \cdot x^{7}$ , $x^{7} y^{0}$ , $x^{-5} \cdot x^{10}$ , $x^{11} \cdot x^{5}$ , $\left(x^{3}\right)^{7}$ , $x^{-6} \cdot x^{12}$ , $\left(x^{-5}\right)^{3}$ , $\left(x^{11}\right)^{5}$ , $\frac{x^{14}}{x^{7}}$ , $\left(x^{-6}\right)^{4}$ , $\frac{x^{14}}{x^{-7}}$ , $\frac{x^{30}}{x^{10}}$ , $\left(8 x^{3}\right)^{2}$ , $\frac{x^{30}}{x^{-10}}$ , $\left(-\frac{4}{x}\right)^{3}$ , $\left(6 x^{4}\right)^{2}$ , $\left(-3 x^{2} y^{5}\right)^{2}$ , $\left(-\frac{6}{y}\right)^{3}$ , $\left(3 x^{4}\right)\left(2 x^{7}\right)$ , $\left(-3 x^{4} y^{6}\right)^{3}$ , $\left(-9 x^{3} y\right)\left(-2 x^{6} y^{4}\right)$ , $\left(11 x^{5}\right)\left(9 x^{12}\right)$ , $\frac{8 x^{20}}{2 x^{4}}$ , $\left(-5 x^{4} y\right)\left(-6 x^{7} y^{11}\right)$ , $\frac{25 a^{13} b^{4}}{-5 a^{2} b^{3}}$ , $\frac{20 x^{24}}{10 x^{6}}$ , $\frac{14 b^{7}}{7 b^{14}}$ , $\frac{35 a^{14} b^{6}}{-7 a^{7} b^{3}}$ , $\frac{20 b^{10}}{10 b^{20}}$ .

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Problem 2399

Simplify the following expressions:
1. $\frac{25 a^{13} b^{4}}{-5 a^{2} b^{3}}$
2. $\frac{35 a^{14} b^{6}}{-7 a^{7} b^{3}}$
3. $\frac{14 b^{7}}{7 b^{14}}$
4. $\frac{20 b^{10}}{10 b^{20}}$
5. $\left(4 x^{3}\right)^{-2}$
6. $\left(10 x^{2}\right)^{-3}$
7. $\frac{24 x^{3} y^{5}}{32 x^{7} y^{-9}}$
8. $\frac{10 x^{4} y^{9}}{30 x^{12} y^{-3}}$
9. $\left(\frac{5 x^{3}}{y}\right)^{-2}$
10. $\left(\frac{3 x^{4}}{y}\right)^{-3}$
11. $\left(\frac{-15 a^{4} b^{2}}{5 a^{10} b^{-3}}\right)^{3}$
12. $\left(\frac{-30 a^{14} b^{8}}{10 a^{17} b^{-2}}\right)^{3}$

See Solution

Problem 2400

Divide and simplify: $4 \frac{1}{3} \div 8 \frac{2}{3}$ . What is the answer in whole number or simplified fraction form?

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1 ...21 22 23 24 25 26 27 ...56

Simplify

Problem 2301

85÷4\frac{8}{5} \div 458​÷4

Problem 2302

54⋅−103\frac{5}{4} \cdot-\frac{10}{3}45​⋅−310​

Problem 2303

Fully simplify the following: a) −2t×u×8-2 t \times u \times 8−2t×u×8 b) 6d×−3f6 d \times-3 f6d×−3f

Problem 2304

Problem 2305

Express (x+4)2(x+4)^{2}(x+4)2 as a trinomial in standareAnswer Attempt 1 out of 2

Problem 2306

expression completely. −60x4+54x-60 x^{4}+54 x−60x4+54x

Problem 2307

Aufgabe 12 Gib als die Potenz in der Wurzelschreibweise an. a) 795=7957^{\frac{9}{5}}=\sqrt[5]{7^{9}}759​=579​ b) b0,4=b25b^{0,4}=\sqrt[5]{b^{2}}b0,4=5b2​ c) 9−17=99^{-\frac{1}{7}}=\sqrt{9}9−71​=9​ 9−179-\frac{1}{7}9−71​

Problem 2308

Find the partial fraction decomposition of the given rational expression. 6x(x−3)\frac{6}{x(x-3)}x(x−3)6​

Problem 2309

Problem 2310

(b) 128x852x25\frac{\sqrt[5]{128 x^{8}}}{\sqrt[5]{2 x^{2}}}52x2​5128x8​​ □\square□ Question Help: Message instructor

Problem 2311

(a) 96r11s55\sqrt[5]{\frac{96 r^{11}}{s^{5}}}5s596r11​​ 2r3123s1s23\frac{2 r^{3} \sqrt[3]{12}}{s^{1} s^{\frac{2}{3}}}s1s32​2r3312​​ (b) 128u7v126\sqrt[6]{\frac{128 u^{7}}{v^{12}}}6v12128u7​​

Problem 2312

QuestionSelect the equivalent expression. k8k−43\sqrt[3]{\frac{k^{8}}{k^{-4}}}3k−4k8​​

Problem 2313

30⋅(6−4)30 \cdot(6-4)30⋅(6−4)

Problem 2314

45−2×(15−3)45-2 \times(15-3)45−2×(15−3)

Problem 2315

Multiply: 42(510−6)4 \sqrt{2}(5 \sqrt{10}-\sqrt{6})42​(510​−6​)

Problem 2316

WRITE EXPRESSION AS SINGLE LOGARITHM: A) 2log⁡2+3log⁡x−12[log⁡(x+3)+log⁡(x−2)]2 \log 2+3 \log x-\frac{1}{2}[\log (x+3)+\log (x-2)]2log2+3logx−21​[log(x+3)+log(x−2)]

Problem 2317

Factorice mediante la fórmula para la suma o diferencia de dos cubos.51. a3+125a^{3}+125a3+12552. x3−27x^{3}-27x3−2753. 64−a364-a^{3}64−a3

Problem 2318

Problem 2319

−2[14−3(6−1)2]-2\left[14-3(6-1)^{2}\right]−2[14−3(6−1)2]

Problem 2320

Factor the following expression completely: 40w16+40w11+15w4=40 w^{16}+40 w^{11}+15 w^{4}=40w16+40w11+15w4= □\square□

Problem 2321

Rewrite the equation in exponential form. ln⁡(w)=n\ln (w)=nln(w)=n □\square□

Problem 2322

Factor the following expression completely: 6x2+5x−4=6 x^{2}+5 x-4=6x2+5x−4=

Problem 2323

1 2 3 4 5 8 7 \511. 5 11. 511.\square$Which expression is equivalent to (64y100)12\left(64 y^{100}\right)^{\frac{1}{2}}(64y100)21​ ? 8y108 y^{10}8y10 8y508 y^{50}8y50 32y1032 y^{10}32y10 32y5032 y^{50}32y50 Mark this and return Viewers/AssessmentViewer/Activit.

Problem 2324

Factor completely; simplify if possible. 9x2+48x+64=9 x^{2}+48 x+64=9x2+48x+64=

Problem 2325

Problem 2326

Problem 2327

Simplify x−3x−4−6x−16x2−16\frac{x-3}{x-4}-\frac{6 x-16}{x^{2}-16}x−4x−3​−x2−166x−16​

Problem 2328

Simplify the expression completely: z2(z4)6=\frac{z^{2}}{\left(z^{4}\right)^{6}}=(z4)6z2​= □\square□

Problem 2329

(1) 4x−16+4x−53\frac{4 x-1}{6}+\frac{4 x-5}{3}64x−1​+34x−5​

Problem 2330

Problem 2331

Evaluate the function f(r)=r+3+9f(r)=\sqrt{r+3}+9f(r)=r+3​+9 at the given values of the independent variable and simplify. a. f(−3)f(-3)f(−3) b. f(97)\mathrm{f}(97)f(97) c. f(x−3)f(x-3)f(x−3) a. f(−3)=f(-3)=f(−3)= □\square□ (Simplify your answer.)

Problem 2332

Problem 2333

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log⁡(10x)\log (10 x)log(10x) □\square□

Problem 2334

What is (f−g)(x)(f-g)(x)(f−g)(x) ? f(x)=−xg(x)=4x+1\begin{array}{l} f(x)=-x \\ g(x)=4 x+1 \end{array}f(x)=−xg(x)=4x+1​Write your answer as a polynomial or a rational function in simplest form.

Problem 2335

Problem 2336

Problem 2337

Write the quadratic equation in standard form: −7x+15=4x2-7 x+15=4 x^{2}−7x+15=4x2

Problem 2338

15sin⁡4x=15 \sin ^{4} x=15sin4x= □\square□ (Simplify your answer. Use integer

Problem 2339

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefricients 5log⁡bx+3log⁡bz5 \log _{b} x+3 \log _{b} z5logb​x+3logb​z □\square□

Problem 2340

Problem 2341

Étant donné a=log⁡b(16)a=\log _{b}(16)a=logb​(16)Exprime log⁡b(8b)\log _{b}(8 b)logb​(8b) en fonction de a

Problem 2342

Problem 2343

What is (f+g)(x)(f+g)(x)(f+g)(x) ? f(x)=−2x2−4xg(x)=3x+1\begin{array}{l} f(x)=-2 x^{2}-4 x \\ g(x)=3 x+1 \end{array}f(x)=−2x2−4xg(x)=3x+1​Write your answer as a polynomial or a rational function in simplest form.

Problem 2344

Problem 2345

What is (f+g)(x)(f+g)(x)(f+g)(x) ? f(x)=−2x2+6x−4g(x)=−x2+8x\begin{array}{l} f(x)=-2 x^{2}+6 x-4 \\ g(x)=-x^{2}+8 x \end{array}f(x)=−2x2+6x−4g(x)=−x2+8x​Write your answer as a polynomial or a rational function in simplest form.

Problem 2346

$\frac{8}{5} \div 4$

$\frac{5}{4} \cdot-\frac{10}{3}$

Fully simplify the following: a) $-2 t \times u \times 8$ b) $6 d \times-3 f$

Express $(x+4)^{2}$ as a trinomial in standare
Answer Attempt 1 out of 2

expression completely. $-60 x^{4}+54 x$

Aufgabe 12 Gib als die Potenz in der Wurzelschreibweise an. a) $7^{\frac{9}{5}}=\sqrt[5]{7^{9}}$ b) $b^{0,4}=\sqrt[5]{b^{2}}$ c) $9^{-\frac{1}{7}}=\sqrt{9}$ $9-\frac{1}{7}$

Find the partial fraction decomposition of the given rational expression. $\frac{6}{x(x-3)}$

(b) $\frac{\sqrt[5]{128 x^{8}}}{\sqrt[5]{2 x^{2}}}$ $\square$ Question Help: Message instructor

(a) $\sqrt[5]{\frac{96 r^{11}}{s^{5}}}$ $\frac{2 r^{3} \sqrt[3]{12}}{s^{1} s^{\frac{2}{3}}}$ (b) $\sqrt[6]{\frac{128 u^{7}}{v^{12}}}$

Question
Select the equivalent expression. $\sqrt[3]{\frac{k^{8}}{k^{-4}}}$

$30 \cdot(6-4)$

$45-2 \times(15-3)$

Multiply: $4 \sqrt{2}(5 \sqrt{10}-\sqrt{6})$

WRITE EXPRESSION AS SINGLE LOGARITHM: A) $2 \log 2+3 \log x-\frac{1}{2}[\log (x+3)+\log (x-2)]$

Factorice mediante la fórmula para la suma o diferencia de dos cubos.
51. $a^{3}+125$
52. $x^{3}-27$
53. $64-a^{3}$

$-2\left[14-3(6-1)^{2}\right]$

Factor the following expression completely: $40 w^{16}+40 w^{11}+15 w^{4}=$ $\square$

Rewrite the equation in exponential form. $\ln (w)=n$ $\square$

Factor the following expression completely: $6 x^{2}+5 x-4=$

1 2 3 4 5 8 7 \ $5 11.$ \square$
Which expression is equivalent to $\left(64 y^{100}\right)^{\frac{1}{2}}$ ? $8 y^{10}$ $8 y^{50}$ $32 y^{10}$ $32 y^{50}$ Mark this and return Viewers/AssessmentViewer/Activit.

Factor completely; simplify if possible. $9 x^{2}+48 x+64=$

Simplify $\frac{x-3}{x-4}-\frac{6 x-16}{x^{2}-16}$

Simplify the expression completely: $\frac{z^{2}}{\left(z^{4}\right)^{6}}=$ $\square$

(1) $\frac{4 x-1}{6}+\frac{4 x-5}{3}$

Evaluate the function $f(r)=\sqrt{r+3}+9$ at the given values of the independent variable and simplify. a. $f(-3)$ b. $\mathrm{f}(97)$ c. $f(x-3)$ a. $f(-3)=$ $\square$ (Simplify your answer.)

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\log (10 x)$ $\square$

What is $(f-g)(x)$ ? $\begin{array}{l} f(x)=-x \\ g(x)=4 x+1 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

Write the quadratic equation in standard form: $-7 x+15=4 x^{2}$

$15 \sin ^{4} x=$ $\square$ (Simplify your answer. Use integer

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefricients $5 \log _{b} x+3 \log _{b} z$ $\square$

Étant donné $a=\log _{b}(16)$
Exprime $\log _{b}(8 b)$ en fonction de a

What is $(f+g)(x)$ ? $\begin{array}{l} f(x)=-2 x^{2}-4 x \\ g(x)=3 x+1 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

What is $(f+g)(x)$ ? $\begin{array}{l} f(x)=-2 x^{2}+6 x-4 \\ g(x)=-x^{2}+8 x \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

$-18.4 s \leq-19.74-18.6 s$
Write your answer with s first, followed by an inequality symbol. $\square$ Submit

What is $(f-g)(x)$ ? $\begin{array}{l} f(x)=-3 x^{2}-9 x-6 \\ g(x)=x+2 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

Simplify. $\frac{y^{2}-4 y-32}{2 y^{2}-4 y-48}$

$3 \log _{3} 27+10 \log 1000$

Question
Factor the expression completely. $63-54 x$

8. $\frac{\frac{x^{2}}{\sqrt{x^{2}+2}}-\sqrt{x^{2}+2}}{x^{2}}$

8. $\frac{\frac{x^{2}}{\sqrt{x^{2}+2}}-\sqrt{x^{2}+2}}{x^{2}}$

Factor $27 r$ - 9. Write your answer as a product with whole number areater than 1.

Rationalize the denominator and simplify. $\sqrt{\frac{2}{11}}$

Simplify. $-\frac{1}{4}\left[\begin{array}{ll} 12 & -20 \\ 28 & -12 \end{array}\right]$

Write the following in simplified radical form. $\sqrt[3]{16}$

$\frac{8}{10}-\frac{3}{5}=--$

10) $28 n^{4}+16 n^{3}-80 n^{2}$

Question 5
Multiply and put it in simplest form. 5) $41 / 3 \times 21 / 4$ $2 / 7$ $6 / 7$
9. $3 / 4$ $83 / 4$

14) $x^{4}-16$

14) $x^{4}-16$

$f(x)=\frac{6 x^{2} \cdot \sqrt[3]{x^{5}}+4 x \cdot \sqrt[3]{x^{5}}-7 \cdot \sqrt[3]{x^{5}}}{5 \cdot \sqrt[3]{x^{5}}}$

$=-\frac{1}{5}-\frac{\frac{1}{25}+\frac{1}{125}+2}{-\frac{3}{25}-\frac{2}{5}}$

Dertuelr $f(x)=\frac{6 x^{2} \cdot \sqrt[3]{x^{5}}+4 x \cdot \sqrt[3]{x^{5}}-7 \cdot \sqrt[5]{x^{5}}}{5 \cdot \sqrt[3]{x^{5}}}$

15) $9 p^{2} r+73 p r+70 r$

Calculate $\frac{\left(2.72 \times 10^{-5}\right)\left(3.11 \times 10^{9}\right)}{\left(1.99 \times 10^{3}\right)\left(2.44 \times 10^{-11}\right)}$ .

Simplify the expression $(-11 x+31 y)-2(-x+5 y)$ and find its equivalent form. Choose from: A) $-13 x+21 y$ , B) $-13 x+36 y$ , C) $-9 x+21 y$ , D) $-9 x+36 y$ .

Completely factor the expression: $21x - 6$ .

Convert the angle $38.32^{\circ}$ to degrees, minutes, and seconds.

Find the expression for $B - 2C$ in standard form, given $B = -t - 1$ and $C = 3t - 2$ .