Simplify

Problem 3501

Rewrite the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ in descending order.

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Problem 3502

Find the product of the binomial factor using the square of a binomial: $(x+2)^{2}$ .

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Problem 3503

Simplify the expression $(2 x)^{2}$ .

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Problem 3504

Calculate the product of the binomial factor using the square of a binomial: $(x+1)^{2}$ .

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Problem 3505

Rewrite the polynomial in descending order: $3 y^{13} - y^{6} + 7 y^{3} + 7$ .

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Problem 3506

Factor the expression $121 r^{2}+4 s^{2}$ in the complex number set.

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Problem 3507

Calculate and simplify: $(1+\sqrt{-49})-(29 i-34)$ in the form $a+bi$ .

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Problem 3508

Convert the following numbers to scientific notation: A) -0.0087 B) 206.8

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Problem 3509

Find the difference quotient for the function $f(x)=-4x+7$ : $\frac{f(x+h)-f(x)}{h}, h \neq 0$ . Simplify your answer.

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Problem 3510

Find the difference quotient of $f(x)=x^{2}+3$ : calculate $\frac{f(x+h)-f(x)}{h}$ for $h \neq 0$ and simplify.

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Problem 3511

Simplify the expression: $7(y-9)-2y$ .

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Problem 3512

Calculate $\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}$ .

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Problem 3513

Rewrite the expression as a sum/difference of logarithms: $\log _{2}\left(\frac{x^{4}}{y^{6}}\right)$

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Problem 3514

Rewrite the logarithmic equation $\ln y=9$ as an exponential equation.

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Problem 3515

Combine the expression into one logarithm: $4 \log_{c} 9 + 5 \log_{c} 5$ .

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Problem 3516

Find the axis of symmetry for the function $f(x)=2 x^{2}-3 x+6$ using $x=\frac{-b}{2 a}$ . What is the value?

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Problem 3517

Find the axis of symmetry for $f(x)=8 x^{2}+6 x+19$ using $x=\frac{-b}{2 a}$ . Enter $x=[?] \frac{[]}{[]}$ .

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Problem 3518

Calculate $\frac{734}{2}$ .

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Problem 3519

Rewrite the equation $e^{x}=10$ using logarithms.

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Problem 3520

Find the exact value of $\ln \mathrm{e}^{\sqrt{6}}$ using logarithm properties without a calculator.

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Problem 3521

Rewrite the expression as a sum/difference of logarithms: $\log_{6}\left(\frac{x-1}{x^{4}}\right)$ .

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Problem 3522

Convert the logarithm $\log _{2} \frac{1}{4}$ to its equivalent exponential form.

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Problem 3523

Convert the exponential equation $5^{3}=125$ to a logarithmic form.

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Problem 3524

Rewrite the exponential equation $4^{3}=x$ using logarithms.

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Problem 3525

Rewrite the exponential equation $4^{5 / 2}=32$ using a logarithm.

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Problem 3526

Rewrite the expression $3^{-3}$ using a logarithm.

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Problem 3527

Convert the logarithmic expression to an exponent: $\ln \frac{1}{e^{4}}=-4$ .

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Problem 3528

Combine the logarithms: $\log_{c} q + \log_{c} r$ as a single logarithm.

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Problem 3529

Find the exact value of $2 \ln e^{4.2}$ using logarithm properties without a calculator.

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Problem 3530

Combine the expression into one logarithm: $2 \log_{c} m - \frac{4}{3} \log_{c} n + \frac{1}{6} \log_{c} j - 6 \log_{c} k$ .

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Problem 3531

Rewrite the logarithmic expression as an exponent: $\log_{4} x = 3$ .

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Problem 3532

Find the exact value of the expression using logarithm properties: $\log_{3} 6 - \log_{3} 2$ .

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Problem 3533

Simplify: $\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}$

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Problem 3534

Simplify these expressions: 1) $\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}$ 2) $\frac{x-1}{x+2}+\frac{x+1}{2 x+4}$

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Problem 3535

Simplify $\left[\left(\frac{m}{n}\right)^{2}-1\right] \div\left(m/n + 1\right)$ .

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Problem 3536

Simplify the expression: $\left[\left(\frac{m}{n}\right)^{2}-(-m)^{0}\right] \div\left(m n^{-1}+1\right)$ .

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Problem 3537

Distribute 100 in the expression: $100(0.06 a + 0.09 b) =$

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Problem 3538

Simplify the expression: $1(2) - 3(-2) + (-3)(3) =$

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Problem 3539

Simplify the following expressions using order of operations: a. $(7+6)^{2}=$ b. $7^{2}+6^{2}=$ c. $7^{2}+2 \cdot 7 \cdot 6+6^{2}=$

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Problem 3540

Distribute in the expression: $x\left(1-\frac{4}{x}\right)=$

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Problem 3541

Simplify using properties: $1 - 2(5b - 5) + 3b =$

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Problem 3542

1. Simplify $s^{2}+9$ .
2. Factor $9x^{2}-4$ .
3. Complete the square for $x^2 + 3x = 18$ .

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Problem 3543

1. Calculate $5^{2}+9$ .
2. Factor $9 x^{2}-4$ .
3. Complete the square for $x^2+3x=18$ .

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Problem 3544

Calculate the sum: $=\frac{9}{8}+\frac{9}{1}$ .

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Problem 3545

Calculate the expression: $6 + 5 \times 8 - 7 \times 5$ .

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Problem 3546

Laske $3 \cdot 237$ ja ilmoita vastaus lukuyksiköinä.

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Problem 3547

Simplify: $3 x^{4}+2 x^{3}-5 x^{2}+4 x^{2}+6 x-2 x-3 x^{4}+7 x^{5}-3 x^{3}$ . Choose A, B, C, or D.

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Problem 3548

Simplify the expression: $\left(9 x^{-2} y^{4}\right)^{-1 / 2}\left(x y^{1 / 2}\right)$ .

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Problem 3549

Calculate the expression: $6(12+4)$ .

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Problem 3550

Evaluate the expression: $6(12 + 4)$

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Problem 3551

Calculate: $10 + 4(2 + 20)$

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Problem 3552

Calculate $7(4+19)$ .

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Problem 3553

Substitute b = 2 and c = 4 into $\frac{b^{2}-2 c^{2}}{a+c-b}$ and express in terms of 'a'.

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Problem 3554

Calculate $\frac{7+3^{2}}{4^{2} \cdot 2}$ .

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Problem 3555

Multiply and simplify. $\frac{30 x-12}{35} \cdot \frac{10}{2-5 x}$

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Problem 3556

Select all fractions that are equivalent to a whole number $\frac{6}{3}$ $\frac{3}{6}$ $\nabla$ $\frac{2}{2}$ $\frac{1}{2}$ $\frac{5}{1}$

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Problem 3557

Ava has six pages left to read in his book. She reads $\frac{1}{2}$ of the pages before dinnertime. Which is another way to show the fraction of the pages Ava reads before dinner?

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Problem 3558

$(\sin \sqrt{x})^{\prime}$

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Problem 3559

Complete the trinomial so that it is a perfect square. Then factor the trinomial. $x^{2}+28 x$
Find the missing term that completes the square. $x^{2}+28 x+$ $\square$ (Simplify your answer. Type an integer or a fraction.)

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Problem 3560

$x^{2}-12 x+36$

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Problem 3561

$25 x^{2}-1$

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Problem 3562

$7 \frac{2}{3}-\frac{4}{5}$

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Problem 3563

Simplify the expression $\frac{2 x-3}{x-2}+\frac{3-x}{x-2}$ and give your answer in the form of $\frac{f(x)}{g(x)}$ .
Your answer for the function $f(x)$ is : $\square$ Your answer for the function $g(x)$ is : $\square$ Question Help: $\square$ Message instructor Submit Question
Question 9 $0 / 2$ pts 3 99 Details
Subtract and simplify: $\frac{x^{2}+21 x}{x+6}-\frac{21 x+36}{x+6}$ $\square$

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Problem 3564

Perform the operation and simplify the rational expression. $\frac{5 x^{2}-21 x+4}{5 x^{2}-19 x-4} \div \frac{5 x^{2}-11 x+2}{x^{2}-7 x+10}$

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Problem 3565

Expand and state your answer as a polynomial in standard form. $\left(4 x^{5}+y^{5}\right)^{2}$

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Problem 3566

Question Watcl
Expand and state your answer as a polynomial in standard form. $\left(5 x+y^{3}\right)^{2}$
Answer Attempt 1 out of 2

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Problem 3567

Question
Expand and state your answer as a polynomial in standard form. $\left(2 x^{2}-y\right)^{2}$

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Problem 3568

Question
Expand and state your answer as a polynomial in standard form. $\left(2 x^{4}+y^{5}\right)^{2}$

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Problem 3569

$4 b \times 5 b \times 2 b$

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Problem 3570

$2 b c \times 3 a d$

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Problem 3571

Rewrite the equation in exponential form. $\log _{x}(36)=y$ $\square$ Additional Materials

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Problem 3572

$4 a-4 c+5 a-c+a$

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Problem 3573

Rewrite the equation in logarithmic form. $\left(\frac{2}{5}\right)^{m}=n$ $\square$ Additional Materials

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Problem 3574

3. Multiply: $\frac{x^{2}-16}{x^{2}+4 x+4} \cdot \frac{x+2}{x-4}$

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Problem 3575

If we perform the appropriate (i.e. helpful) $u$ -sub for $\int \frac{\ln (x)}{x} \mathrm{dx}$ , what does the new integral look like in terms of $u$ right after performing the substitution? $\int \frac{\ln (u)}{u} d u$ $\int u d u$ none of these $\int \frac{\ln (u)}{x} d u$

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Problem 3576

$5 c-c+4 c-2 c$

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Problem 3577

Simplify using the quotient rule, if possible. $\frac{b^{9}}{b^{5}}$ your cnoice. A. $\frac{b^{9}}{b^{5}}=$ $\square$ (Type expunential notation with positive exponents.) B. The expression cannot be simpli

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Problem 3578

Rewrite the expression by factoring out $(5 u+2)$ . $4 u(5 u+2)+(5 u+2)$

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Problem 3579

Rewrite the expression by factoring out $(y-2)$ . $3 y(y-2)-7(y-2)$

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Problem 3580

Rewrite the expression by factoring out $(w+6)$ . $5 w^{2}(w+6)-(w+6)$

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Problem 3581

1. Factor the lollowing a) $4 \sin ^{2} \theta-\cos ^{2} \theta$

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Problem 3582

1. Factor the lollowing a) $4 \sin ^{2} \theta-\cos ^{2} \theta$

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Problem 3583

Section 9.3 Follow-up Exercises Perform the following matrix operations wherever possible. $\begin{array}{l} 1-\left(\begin{array}{rr} 4 & -2 \\ 5 & 8 \end{array}\right)-\left(\begin{array}{rr} 3 & 12 \\ 8 & 4 \end{array}\right) \\ 3-3\left(\begin{array}{rr} 4 & -3 \\ -1 & -4 \end{array}\right)+8\left(\begin{array}{rr} 12 & 10 \\ -2 & -4 \end{array}\right) \\ 55\left(\begin{array}{rr} -2 & 10 \\ 8 & 15 \end{array}\right)-3\left(\begin{array}{rr} 20 & -25 \\ -10 & 15 \end{array}\right) \\ 7\left(\begin{array}{ll} 7 & -3 \end{array}\right)\binom{4}{8} \\ 9\left(\begin{array}{ll} 3 & -2 \end{array}\right)\left(\begin{array}{r} 4 \\ -4 \\ -3 \end{array}\right) \end{array}$ $\begin{array}{l} 2\left(\begin{array}{cc} 5 & -8 \\ 2 & 14 \end{array}\right)+\left(\begin{array}{rr} -6 & -2 \\ 10 & -4 \end{array}\right)-\left(\begin{array}{rr} -10 & 5 \\ 21 & -8 \end{array}\right) \\ 43 k\left(\begin{array}{cc} -a & b \\ -b & 2 a \end{array}\right)-2 k\left(\begin{array}{ll} a & b \\ b & 2 a \end{array}\right) \\ 6\left(\begin{array}{ll} 7 & 5 \\ 8 & 4 \end{array}\right)-8\left(\begin{array}{ll} 4 & 3 \\ 2 & 4 \end{array}\right)+6\left(\begin{array}{ll} 1 & -8 \\ 2 & -4 \end{array}\right) \\ 8\left(\begin{array}{ll} 1 & -2 \end{array}-3\right)\left(\begin{array}{l} 8 \\ 5 \\ 4 \end{array}\right) \\ 10\left(\begin{array}{lll} 18 & -4 & -6 \end{array}\right)\binom{2}{3} \end{array}$

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Problem 3584

Save
Simplify using the quotient rule, if possible. $\frac{y^{8}}{y^{2}}$ your choice. A. $\frac{y^{8}}{5^{2}}=$ $\square$ (Type exponential notation with positive exponents.) B. The expression cannot be simplified.

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Problem 3585

Given: $y=\log _{5} x$ a. Rewrite to exponential form. $\square$ b. Which of the following graphs represents the equation

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Problem 3586

Divide and simplify. $\frac{3 n^{9}+27 n^{5}-9 n^{2}}{-3 n^{4}}$ $\frac{3 n^{9}+27 n^{5}-9 n^{2}}{-3 n^{4}}=$ $\square$ (Simplify your answer.)

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Problem 3587

Divide and simplify. $\frac{3 n^{9}+27 n^{5}-9 n^{2}}{-3 n^{4}}$ $\frac{3 n^{9}+27 n^{5}-9 n^{2}}{-3 n^{4}}=$ $\square$ (Simplify your answer.)

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Problem 3588

Combine like terms, if possible. Write the result with descending powers. $4 z^{5}+\left(-3 z^{5}\right)$
Select the correct choice below and, fill in the answer box to complete your choice. A. The polynomial cannot be simplified. The polynomial written in descending powers is $\square$ B. The polynomial can be simplified. $4 z^{5}+\left(-3 z^{5}\right)=$ $\square$ .

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Problem 3589

Which expression represents $x^{2}-8 x+16$ in factored form? $(x-2)(x-8)$ $(x+4)(x-4)$ $(x+4)^{2}$ $(x-4)^{2}$

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Problem 3590

Factor. $20 x y-4 y+35 x-7$
Enter your answer in the box.

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Problem 3591

Use properties of logarithms to expand the logarithmic expression below as much as possible. $\log _{f} \frac{\sqrt{s} t^{3}}{r^{3}}$ $\log _{f} \frac{\sqrt{s t^{3}}}{r^{3}}=$ $\square$ (Simplify your answer.)

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Problem 3592

10 12) -5(a-6)+2a fy each expression. Me (5a+7)

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Problem 3593

9. simplify $\frac{2 x+12}{x+6}$

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Problem 3594

$\left(n^{10}\right)^{\frac{1}{5}}$

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Problem 3595

1 and difference identities. b) $\sin \left(\frac{\pi}{2}-x\right)$

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Problem 3596

Simplify $\sqrt{\frac{1}{36}}$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $\sqrt{\frac{1}{36}}=$ $\square$ 1 B. The root is not a real number.

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Problem 3597

peform the Indicated operation $\frac{1}{3 x^{2} y^{4}} \div \frac{1}{21 x^{3} y}$

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Problem 3598

Simplify. Assume that the variable represents any real number. $\sqrt[19]{x^{19}}$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $\sqrt[19]{\mathrm{x}^{19}}=$ $\square$ B. The root does not represent a real number.

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Problem 3599

Simplify the radical. Assume that the variable represents a positive real number. $\sqrt[4]{\frac{x^{12}}{16}}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $\sqrt[4]{\frac{x^{12}}{16}}=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The radical does not represent a real number.

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Problem 3600

Use radical notation to rewrite the expression. Simplify if possible $16^{1 / 2}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. $16^{1 / 2}=$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.) B. The answer is not a real number.

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1 ...33 34 35 36 37 38 39 ...56

Simplify

Problem 3501

Rewrite the polynomial −8y7−y3+8+2y6-8 y^{7}-y^{3}+8+2 y^{6}−8y7−y3+8+2y6 in descending order.

Problem 3502

Find the product of the binomial factor using the square of a binomial: (x+2)2(x+2)^{2}(x+2)2.

Problem 3503

Simplify the expression (2x)2(2 x)^{2}(2x)2.

Problem 3504

Calculate the product of the binomial factor using the square of a binomial: (x+1)2(x+1)^{2}(x+1)2.

Problem 3505

Rewrite the polynomial in descending order: 3y13−y6+7y3+73 y^{13} - y^{6} + 7 y^{3} + 73y13−y6+7y3+7.

Problem 3506

Factor the expression 121r2+4s2121 r^{2}+4 s^{2}121r2+4s2 in the complex number set.

Problem 3507

Calculate and simplify: (1+−49)−(29i−34)(1+\sqrt{-49})-(29 i-34)(1+−49​)−(29i−34) in the form a+bia+bia+bi.

Problem 3508

Convert the following numbers to scientific notation: A) -0.0087 B) 206.8

Problem 3509

Find the difference quotient for the function f(x)=−4x+7f(x)=-4x+7f(x)=−4x+7: f(x+h)−f(x)h,h≠0\frac{f(x+h)-f(x)}{h}, h \neq 0hf(x+h)−f(x)​,h=0. Simplify your answer.

Problem 3510

Find the difference quotient of f(x)=x2+3f(x)=x^{2}+3f(x)=x2+3: calculate f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for h≠0h \neq 0h=0 and simplify.

Problem 3511

Simplify the expression: 7(y−9)−2y7(y-9)-2y7(y−9)−2y.

Problem 3512

Calculate (2.40gmL)(1 mL10−3 L)(116.86gmol)\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}(116.86molg​)(2.40mLg​)(10−3 L1 mL​)​.

Problem 3513

Rewrite the expression as a sum/difference of logarithms: log⁡2(x4y6)\log _{2}\left(\frac{x^{4}}{y^{6}}\right)log2​(y6x4​)

Problem 3514

Rewrite the logarithmic equation ln⁡y=9\ln y=9lny=9 as an exponential equation.

Problem 3515

Combine the expression into one logarithm: 4log⁡c9+5log⁡c54 \log_{c} 9 + 5 \log_{c} 54logc​9+5logc​5.

Problem 3516

Find the axis of symmetry for the function f(x)=2x2−3x+6f(x)=2 x^{2}-3 x+6f(x)=2x2−3x+6 using x=−b2ax=\frac{-b}{2 a}x=2a−b​. What is the value?

Problem 3517

Find the axis of symmetry for f(x)=8x2+6x+19f(x)=8 x^{2}+6 x+19f(x)=8x2+6x+19 using x=−b2ax=\frac{-b}{2 a}x=2a−b​. Enter x=[?][][]x=[?] \frac{[]}{[]}x=[?][][]​.

Problem 3518

Calculate 7342\frac{734}{2}2734​.

Problem 3519

Rewrite the equation ex=10e^{x}=10ex=10 using logarithms.

Problem 3520

Find the exact value of ln⁡e6\ln \mathrm{e}^{\sqrt{6}}lne6​ using logarithm properties without a calculator.

Problem 3521

Rewrite the expression as a sum/difference of logarithms: log⁡6(x−1x4)\log_{6}\left(\frac{x-1}{x^{4}}\right)log6​(x4x−1​).

Problem 3522

Convert the logarithm log⁡214\log _{2} \frac{1}{4}log2​41​ to its equivalent exponential form.

Problem 3523

Convert the exponential equation 53=1255^{3}=12553=125 to a logarithmic form.

Problem 3524

Rewrite the exponential equation 43=x4^{3}=x43=x using logarithms.

Problem 3525

Rewrite the exponential equation 45/2=324^{5 / 2}=3245/2=32 using a logarithm.

Problem 3526

Rewrite the expression 3−33^{-3}3−3 using a logarithm.

Problem 3527

Convert the logarithmic expression to an exponent: ln⁡1e4=−4\ln \frac{1}{e^{4}}=-4lne41​=−4.

Problem 3528

Combine the logarithms: log⁡cq+log⁡cr\log_{c} q + \log_{c} rlogc​q+logc​r as a single logarithm.

Problem 3529

Find the exact value of 2ln⁡e4.22 \ln e^{4.2}2lne4.2 using logarithm properties without a calculator.

Problem 3530

Combine the expression into one logarithm: 2log⁡cm−43log⁡cn+16log⁡cj−6log⁡ck2 \log_{c} m - \frac{4}{3} \log_{c} n + \frac{1}{6} \log_{c} j - 6 \log_{c} k2logc​m−34​logc​n+61​logc​j−6logc​k.

Problem 3531

Rewrite the logarithmic expression as an exponent: log⁡4x=3\log_{4} x = 3log4​x=3.

Problem 3532

Find the exact value of the expression using logarithm properties: log⁡36−log⁡32\log_{3} 6 - \log_{3} 2log3​6−log3​2.

Problem 3533

Simplify: x2−3x−4x2+x÷x−4x2\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}x2+xx2−3x−4​÷x2x−4​

Problem 3534

Simplify these expressions: 1) x2−3x−4x2+x÷x−4x2\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}x2+xx2−3x−4​÷x2x−4​ 2) x−1x+2+x+12x+4\frac{x-1}{x+2}+\frac{x+1}{2 x+4}x+2x−1​+2x+4x+1​

Problem 3535

Simplify [(mn)2−1]÷(m/n+1)\left[\left(\frac{m}{n}\right)^{2}-1\right] \div\left(m/n + 1\right)[(nm​)2−1]÷(m/n+1).

Problem 3536

Simplify the expression: [(mn)2−(−m)0]÷(mn−1+1)\left[\left(\frac{m}{n}\right)^{2}-(-m)^{0}\right] \div\left(m n^{-1}+1\right)[(nm​)2−(−m)0]÷(mn−1+1).

Problem 3537

Distribute 100 in the expression: 100(0.06a+0.09b)=100(0.06 a + 0.09 b) = 100(0.06a+0.09b)=

Problem 3538

Simplify the expression: 1(2)−3(−2)+(−3)(3)=1(2) - 3(-2) + (-3)(3) = 1(2)−3(−2)+(−3)(3)=

Problem 3539

Simplify the following expressions using order of operations: a. (7+6)2=(7+6)^{2}=(7+6)2= b. 72+62=7^{2}+6^{2}=72+62= c. 72+2⋅7⋅6+62=7^{2}+2 \cdot 7 \cdot 6+6^{2}=72+2⋅7⋅6+62=

Problem 3540

Rewrite the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ in descending order.

Find the product of the binomial factor using the square of a binomial: $(x+2)^{2}$ .

Simplify the expression $(2 x)^{2}$ .

Calculate the product of the binomial factor using the square of a binomial: $(x+1)^{2}$ .

Rewrite the polynomial in descending order: $3 y^{13} - y^{6} + 7 y^{3} + 7$ .

Factor the expression $121 r^{2}+4 s^{2}$ in the complex number set.

Calculate and simplify: $(1+\sqrt{-49})-(29 i-34)$ in the form $a+bi$ .

Find the difference quotient for the function $f(x)=-4x+7$ : $\frac{f(x+h)-f(x)}{h}, h \neq 0$ . Simplify your answer.

Find the difference quotient of $f(x)=x^{2}+3$ : calculate $\frac{f(x+h)-f(x)}{h}$ for $h \neq 0$ and simplify.

Simplify the expression: $7(y-9)-2y$ .

Calculate $\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}$ .

Rewrite the expression as a sum/difference of logarithms: $\log _{2}\left(\frac{x^{4}}{y^{6}}\right)$

Rewrite the logarithmic equation $\ln y=9$ as an exponential equation.

Combine the expression into one logarithm: $4 \log_{c} 9 + 5 \log_{c} 5$ .

Find the axis of symmetry for the function $f(x)=2 x^{2}-3 x+6$ using $x=\frac{-b}{2 a}$ . What is the value?

Find the axis of symmetry for $f(x)=8 x^{2}+6 x+19$ using $x=\frac{-b}{2 a}$ . Enter $x=[?] \frac{[]}{[]}$ .

Calculate $\frac{734}{2}$ .

Rewrite the equation $e^{x}=10$ using logarithms.

Find the exact value of $\ln \mathrm{e}^{\sqrt{6}}$ using logarithm properties without a calculator.

Rewrite the expression as a sum/difference of logarithms: $\log_{6}\left(\frac{x-1}{x^{4}}\right)$ .

Convert the logarithm $\log _{2} \frac{1}{4}$ to its equivalent exponential form.

Convert the exponential equation $5^{3}=125$ to a logarithmic form.

Rewrite the exponential equation $4^{3}=x$ using logarithms.

Rewrite the exponential equation $4^{5 / 2}=32$ using a logarithm.

Rewrite the expression $3^{-3}$ using a logarithm.

Convert the logarithmic expression to an exponent: $\ln \frac{1}{e^{4}}=-4$ .

Combine the logarithms: $\log_{c} q + \log_{c} r$ as a single logarithm.

Find the exact value of $2 \ln e^{4.2}$ using logarithm properties without a calculator.

Combine the expression into one logarithm: $2 \log_{c} m - \frac{4}{3} \log_{c} n + \frac{1}{6} \log_{c} j - 6 \log_{c} k$ .

Rewrite the logarithmic expression as an exponent: $\log_{4} x = 3$ .

Find the exact value of the expression using logarithm properties: $\log_{3} 6 - \log_{3} 2$ .

Simplify: $\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}$

Simplify these expressions: 1) $\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}$ 2) $\frac{x-1}{x+2}+\frac{x+1}{2 x+4}$

Simplify $\left[\left(\frac{m}{n}\right)^{2}-1\right] \div\left(m/n + 1\right)$ .

Simplify the expression: $\left[\left(\frac{m}{n}\right)^{2}-(-m)^{0}\right] \div\left(m n^{-1}+1\right)$ .

Distribute 100 in the expression: $100(0.06 a + 0.09 b) =$

Simplify the expression: $1(2) - 3(-2) + (-3)(3) =$

Simplify the following expressions using order of operations: a. $(7+6)^{2}=$ b. $7^{2}+6^{2}=$ c. $7^{2}+2 \cdot 7 \cdot 6+6^{2}=$

Distribute in the expression: $x\left(1-\frac{4}{x}\right)=$

Simplify using properties: $1 - 2(5b - 5) + 3b =$

1. Simplify $s^{2}+9$ .
2. Factor $9x^{2}-4$ .
3. Complete the square for $x^2 + 3x = 18$ .

1. Calculate $5^{2}+9$ .
2. Factor $9 x^{2}-4$ .
3. Complete the square for $x^2+3x=18$ .

Calculate the sum: $=\frac{9}{8}+\frac{9}{1}$ .

Calculate the expression: $6 + 5 \times 8 - 7 \times 5$ .

Laske $3 \cdot 237$ ja ilmoita vastaus lukuyksiköinä.

Simplify: $3 x^{4}+2 x^{3}-5 x^{2}+4 x^{2}+6 x-2 x-3 x^{4}+7 x^{5}-3 x^{3}$ . Choose A, B, C, or D.

Simplify the expression: $\left(9 x^{-2} y^{4}\right)^{-1 / 2}\left(x y^{1 / 2}\right)$ .

Calculate the expression: $6(12+4)$ .

Evaluate the expression: $6(12 + 4)$

Calculate: $10 + 4(2 + 20)$

Calculate $7(4+19)$ .

Substitute b = 2 and c = 4 into $\frac{b^{2}-2 c^{2}}{a+c-b}$ and express in terms of 'a'.

Calculate $\frac{7+3^{2}}{4^{2} \cdot 2}$ .

Multiply and simplify. $\frac{30 x-12}{35} \cdot \frac{10}{2-5 x}$

Select all fractions that are equivalent to a whole number $\frac{6}{3}$ $\frac{3}{6}$ $\nabla$ $\frac{2}{2}$ $\frac{1}{2}$ $\frac{5}{1}$

Ava has six pages left to read in his book. She reads $\frac{1}{2}$ of the pages before dinnertime. Which is another way to show the fraction of the pages Ava reads before dinner?

$(\sin \sqrt{x})^{\prime}$

Complete the trinomial so that it is a perfect square. Then factor the trinomial. $x^{2}+28 x$
Find the missing term that completes the square. $x^{2}+28 x+$ $\square$ (Simplify your answer. Type an integer or a fraction.)

$x^{2}-12 x+36$

$25 x^{2}-1$

$7 \frac{2}{3}-\frac{4}{5}$

Perform the operation and simplify the rational expression. $\frac{5 x^{2}-21 x+4}{5 x^{2}-19 x-4} \div \frac{5 x^{2}-11 x+2}{x^{2}-7 x+10}$

Expand and state your answer as a polynomial in standard form. $\left(4 x^{5}+y^{5}\right)^{2}$

Question Watcl
Expand and state your answer as a polynomial in standard form. $\left(5 x+y^{3}\right)^{2}$
Answer Attempt 1 out of 2

Question
Expand and state your answer as a polynomial in standard form. $\left(2 x^{2}-y\right)^{2}$

Question
Expand and state your answer as a polynomial in standard form. $\left(2 x^{4}+y^{5}\right)^{2}$

$4 b \times 5 b \times 2 b$

$2 b c \times 3 a d$

Rewrite the equation in exponential form. $\log _{x}(36)=y$ $\square$ Additional Materials

$4 a-4 c+5 a-c+a$

Rewrite the equation in logarithmic form. $\left(\frac{2}{5}\right)^{m}=n$ $\square$ Additional Materials

3. Multiply: $\frac{x^{2}-16}{x^{2}+4 x+4} \cdot \frac{x+2}{x-4}$