Simplify

Problem 2401

Simplify the following expressions and convert numbers to decimal or scientific notation:
63. (3a5b212a3b4)0\left(\frac{3 a^{-5} b^{2}}{12 a^{3} b^{-4}}\right)^{0}
64. (4a5b312a3b5)0\left(\frac{4 a^{-5} b^{3}}{12 a^{3} b^{-5}}\right)^{0}

65. 3.8×1023.8 \times 10^{2}
66. 9.2×1029.2 \times 10^{2}
67. 6×1046 \times 10^{-4}
68. 7×1057 \times 10^{-5}
69. 7.16×106-7.16 \times 10^{6}
70. 8.17×106-8.17 \times 10^{6}
71. 7.9×1017.9 \times 10^{-1}
72. 6.8×1016.8 \times 10^{-1}
73. 4.15×103-4.15 \times 10^{-3}
74. 3.14×103-3.14 \times 10^{-3}
75. 6.00001×1010-6.00001 \times 10^{10}
76. 7.00001×1010-7.00001 \times 10^{10}

77. 32,000
78. 64,000
79. 638,000,000,000,000,000638,000,000,000,000,000
80. 579,000,000,000,000,000579,000,000,000,000,000

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Problem 2402

Divide and simplify: 218÷6382 \frac{1}{8} \div 6 \frac{3}{8}. What is the answer? (Provide a whole number or simplified fraction.)

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Problem 2403

Simplify 557÷75 \frac{5}{7} \div 7 and provide the answer as a whole number or fraction.

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Problem 2404

Divide and simplify: 14÷1121314 \div 1 \frac{12}{13}. Provide a whole number, proper fraction, or mixed number.

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Problem 2405

Simplify the following expressions:
94. 72x349x13\frac{72 x^{\frac{3}{4}}}{9 x^{\frac{1}{3}}}
96. (x45)5\left(x^{\frac{4}{5}}\right)^{5}
98. (125x9y6)13\left(125 x^{9} y^{6}\right)^{\frac{1}{3}}
100. (2y15)4y310\frac{\left(2 y^{\frac{1}{5}}\right)^{4}}{y^{\frac{3}{10}}}

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Problem 2406

Simplify the following expressions: 94. 72x349x13\frac{72 x^{\frac{3}{4}}}{9 x^{\frac{1}{3}}}, 96. (x45)5\left(x^{\frac{4}{5}}\right)^{5}, 98. (125x9y6)13\left(125 x^{9} y^{6}\right)^{\frac{1}{3}}

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Problem 2407

Divide 4374 \frac{3}{7} by 66. Simplify your answer to a whole number or a fraction.

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Problem 2408

Simplify the function fg(x)=7x74x4\frac{f}{g}(x)=\frac{-7x-7}{4x-4}.

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Problem 2409

Find the Celsius temperature from 72F72^{\circ} \mathrm{F} using the formula: C=F302C = \frac{F - 30}{2}. Show each step!

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Problem 2410

Calculate the expression: 324342922233\frac{3^{-2} \cdot 4^{3} \cdot 4^{-2}}{9^{-2} \cdot 2^{-2} \cdot 3^{-3}}.

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Problem 2411

Simplify the expression: 2354215253225324\frac{2^{3} \cdot 5^{4} \cdot 2^{-1} \cdot 5^{2}}{5^{3} \cdot 2^{-2} \cdot 5^{3} \cdot 2^{4}}

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Problem 2412

Calculate (232)2(2233)\left(\frac{2}{3^{2}}\right)^{-2} \cdot\left(\frac{2^{2}}{3^{3}}\right).

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Problem 2413

Round 0.09541 to the nearest 0.0010.001.

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Problem 2414

Rationalize the denominator of 437\frac{4}{3-\sqrt{7}}.

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Problem 2415

Simplify 89÷20\frac{8}{9} \div 20. What is the simplest form of the answer?

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Problem 2416

Solve for zz in the equation 73z+10=07 - |3z + 10| = 0.

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Problem 2417

Which expression equals (13x4)(20x15)(13 x-4)-(20 x-15)? (A) 33x+1133 x+11 (B) 33x1933 x-19 (C) 7x19-7 x-19 (D) 7x+11-7 x+11

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Problem 2418

Determine the general equation of the ellipse from x29+y225=1\frac{x^{2}}{9}+\frac{y^{2}}{25}=1.

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Problem 2419

Calculate 12.4+(25÷5)212.4 + (25 \div 5)^{2}.

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Problem 2420

Calculate: (313)×(16)×(95) (3 \frac{1}{3}) \times (\frac{1}{6}) \times (-\frac{9}{5})

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Problem 2421

Find the difference: (3 - 3n²) - (2n² - 4). What is the simplified expression?

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Problem 2422

Find the sum of 4n414n^4 - 1 and 4n324n^3 - 2. What is the result?

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Problem 2423

Simplify the sum: (12n3+8n2+5n4)+(9n314n2+6n4)(-12 n^{3}+8 n^{2}+5 n^{4})+(9 n^{3}-14 n^{2}+6 n^{4})

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Problem 2424

Simplify the expression: (14x312x2)(11+13x3+6x2)(-1 - 4x^3 - 12x^2) - (11 + 13x^3 + 6x^2).

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Problem 2425

Simplify the expression: (x6x2+3x38x4)+(2x+3x48x35x2)(x - 6x^2 + 3x^3 - 8x^4) + (2x + 3x^4 - 8x^3 - 5x^2).

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Problem 2426

Simplify the expression using the fewest terms: (4x2+10y22x)+(7x2+3y22x)(12x2+9y2x)(4 x^{2}+10 y^{2}-2 x)+(7 x^{2}+3 y^{2}-2 x)-(12 x^{2}+9 y^{2}-x).

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Problem 2427

Find the six trigonometric functions for the angle 765765^{\circ}. Calculate sin765=\sin 765^{\circ}= (simplify and rationalize).

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Problem 2428

Find the six trigonometric functions for the angle 510-510^{\circ}. Calculate sin(510)\sin \left(-510^{\circ}\right).

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Problem 2429

Find the exact value of sin1935\sin 1935^{\circ}. Simplify your answer using integers or fractions.

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Problem 2430

Verify the equation: [64+(40)]+16=64+[(40)+16][64 + (-40)] + 16 = 64 + [(-40) + 16]. Show both sides equal 36.

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Problem 2431

Simplify the expression: (2y6)3(2 y^{6})^{3}.

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Problem 2432

Simplify the expression: y2y9y^{-2} y^{9}.

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Problem 2433

Simplify the expression: x3x6x^{3} \cdot x^{6}.

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Problem 2434

Simplify the expression: x16x10\frac{x^{16}}{x^{10}}.

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Problem 2435

Simplify the expression: w2w4w5w^{-2} w^{-4} w^{-5}.

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Problem 2436

Simplify the imaginary number: 9329 \sqrt{-32}.

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Problem 2437

Find the six trig functions for the angle 510-510^{\circ}. Calculate sin(510)\sin(-510^{\circ}) and simplify.

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Problem 2438

Find the six trigonometric functions for the angle 870-870^{\circ}. Simplify your answer, including any radicals.

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Problem 2439

Simplify the imaginary number 771257 \sqrt{-\frac{7}{125}}.

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Problem 2440

Estimate the total cost for 32 microphones at \$348 each using rounded numbers.

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Problem 2441

Find the simplest interval form of the set (,1][6,)(-\infty,-1] \cap[-6, \infty).

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Problem 2442

Estimate the total cost for 53 microphones at \$547 each using rounded numbers.

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Problem 2443

Distribute and simplify using the box method: (3x+3)(2x1)(-3x + 3)(2x - 1).

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Problem 2444

Expand the expression (2x4y+c)2(2x - 4y + c)^{2}.

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Problem 2445

Calculate 25310\frac{2}{5} - \frac{3}{10}.

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Problem 2446

Calculate 62÷2(3)+46^{2} \div 2(3)+4.

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Problem 2447

Calculate the value of 4812\frac{4}{8}-\frac{1}{2}.

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Problem 2448

Calculate 3818\frac{3}{8}-\frac{1}{8}.

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Problem 2449

Combine the terms: 8y9y8y - 9y. What is the simplified result?

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Problem 2450

Simplify the expression: 8a6+a18a - 6 + a - 1.

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Problem 2451

Combine like terms in the expression: 7x2x2+3x2 7x - 2x^{2} + 3 - x^{2} .

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Problem 2452

Distribute 4-4 into the expression 7x+57x + 5.

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Problem 2453

Calculate 1214\frac{1}{2} - \frac{1}{4}.

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Problem 2454

Combine like terms in the expression: x+5y242y22x+3-x + 5y^{2} - 4 - 2y^{2} - 2x + 3.

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Problem 2455

Calculate 6737\frac{6}{7}-\frac{3}{7}.

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Problem 2456

Question Watch Video
Select the expression that is equivalent to 1(3x)13\frac{1}{(3 x)^{\frac{1}{3}}}
Answer 3x3\sqrt[3]{3 x} (3x)3\sqrt{(3 x)^{3}} Submit An: 13x3\frac{1}{\sqrt[3]{3 x}} 1(3x)3\frac{1}{\sqrt{(3 x)^{3}}}

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Problem 2457

Which expression is equivalent to 5(6h+812)?-5(-6 h+8-12) ? 30h+40+6030 h+40+60 30h+4060-30 h+40-60 30h40+6030 h-40+60 30h4060-30 h-40-60

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Problem 2458

The expression 2625\sqrt[6]{2} \cdot \sqrt{2^{5}} is equivalent to
Answer 21252^{\frac{12}{5}} 2382^{\frac{3}{8}} 2832^{\frac{8}{3}} 25122^{\frac{5}{12}} You have up to 9 questions left to raise your score.

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Problem 2459

Question Watch Video Show Exa
The expression 25323\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}} is equivalent to
Answer 21962^{\frac{19}{6}} 26192^{\frac{6}{19}} 2232^{\frac{2}{3}} 2522^{\frac{5}{2}} Submit Answer
You have up to 7 questions left to raise your score. Copyright O2024 Delta Math com All Rights Reserved. Privacy Policy | Terms of Service

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Problem 2460

710b35c+25b+120b210c\frac{7}{10} b-\frac{3}{5} c+\frac{2}{5} b+\frac{1}{20} b-\frac{2}{10} c

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Problem 2461

4y725x230=50x260\frac{4 y-7}{25 x^{2}-30}=\frac{}{50 x^{2}-60} 4y725x230=50x260\frac{4 y-7}{25 x^{2}-30}=\frac{\square}{50 x^{2}-60} (Simplify your answer. Do not factor.)

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Problem 2462

stion Watch Video Show Examples ress the following fraction in simplest form using only positive exponents. ((4u2)412u5\frac{\left(\left(4 u^{2}\right)^{4}\right.}{12 u^{5}}

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Problem 2463

Express the following in simplest radical form. All variables represent positive real numbers. (Simplify your answer completely.) 5x32y5\frac{\sqrt{5 x}}{\sqrt{32 y^{5}}}

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Problem 2464

Express the following in simplest radical form. All variables represent positive real numbers. (Simplify your answer completely.) 12y325x\frac{\sqrt{12 y^{3}}}{\sqrt{25 x}}

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Problem 2465

Express the following in simplest radical form. The variable represents a positive real number. (Simplify your answer completely.) 32x3\sqrt[3]{\frac{3}{2 x}}

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Problem 2466

5+81=5+\sqrt{-81}= (Simplify your answer, using radicals as needed. Type your an

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Problem 2467

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

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Problem 2468

Subtract and simplify. (5j)(7+2j)(5-j)-(7+2 j)

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Problem 2469

6x+x-6 x+x

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Problem 2470

4x5x=-4 x-5 x=

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Problem 2471

8y(8y)8 y-(-8 y)

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Problem 2472

x(10x)-x-(-10 x)

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Problem 2473

f) 4log100.0014 \log _{10} 0.001

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Problem 2474

1+(14+12)21+\left(\frac{1}{4}+\frac{1}{2}\right)^{2}

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Problem 2475

14+4525×12\frac{1}{4}+\frac{4}{5}-\frac{2}{5} \times \frac{1}{2}

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Problem 2476

0.2÷0.5×1+0.10.2 \div 0.5 \times 1+0.1

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Problem 2477

1. Simplify the following expressions: a) 8+57-8+|5-7| b) 24932 \cdot|4-9|-3 c) 6225\frac{|6-2|}{2}-5

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Problem 2478

Question 8, 5.4.41
Write the expression as a function of xx, with no angle measure involved. sin(2π3+x)\sin \left(\frac{2 \pi}{3}+x\right) \square

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Problem 2479

Simplify. (2y53x2y7)4\left(\frac{2 y^{5}}{3 x^{2} y^{7}}\right)^{4}
Write your answer using only positive exponents.

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Problem 2480

2x43x2+4xx2=+x2\frac{2 x^{4}-3 x^{2}+4 x}{x-2}=\square+\frac{\square}{x-2}

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Problem 2481

Suppose that in 2008,921,5502008,921,550 citizens died of a certain disease. Assuming the population of the country is 319 million, what was the mortality rate in units of deaths per 100,000 people?
The mortality rate is \square deaths per 100,000 people. (Simplify your answer. Round to the nearest integer as needed.)

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Problem 2482

Multiply. Write your answer in simplest form. 2396\sqrt{2} \cdot \sqrt{396} \square Submit

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Problem 2483

Rewrite the expression 4280564^{-2} \cdot 8^{0} \cdot 5^{6} using only positive exponents. 56428\frac{5^{6}}{4^{2} \cdot 8} 4256\frac{4^{2}}{5^{6}} 85642\frac{8 \cdot 5^{6}}{4^{2}} 5642\frac{5^{6}}{4^{2}}

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Problem 2484

Simplify the radical expression. 216x33\sqrt[3]{216 x^{3}}
Write your answer in the form A,B3\mathrm{A}, \sqrt[3]{\mathrm{B}}, or AB3A \sqrt[3]{B}, where AA and BB are constants or expressions in x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A . \square

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Problem 2485

NAME \qquad Unit 5 Rational Test 1) Divide a6a3÷a+2a28a+15\frac{a-6}{a-3} \div \frac{a+2}{a^{2}-8 a+15}

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Problem 2486

Question 3
Write the equation in exponential form. Assume that all constants are positive and not equal to 1. logr(b)=umb=u\begin{array}{c} \log _{r}(b)=u \\ m^{b}=u \end{array}
Question Help: Video

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Problem 2487

Factorise 3x2+5x+2=(+)(x+)3 x^{2}+5 x+2=(-+)(x+)

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Problem 2488

The expression given is 5ab43c5 a b^{4} \cdot 3 c. However, to solve an expression, we typically need an equation (something set equal to a value) or additional context, such as values for the variables or a specific variable to solve for. Since the expression is not an equation, it cannot be "solved" in the traditional sense. If you have an equation or additional instructions, please provide them. Otherwise, the expression can be simplified by multiplying the coefficients and combining the variables:
5ab43c=15ab4c 5 a b^{4} \cdot 3 c = 15 a b^{4} c

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Problem 2489

Factorise Fully 3x2+14x+83 x^{2}+14 x+8

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Problem 2490

Simplify the expression (7.3)
7. 2sin10θcos10θ2 \sin 10 \theta \cos 10 \theta

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Problem 2491

Factor by grouping: x2+10x+4x+40x^{2}+10 x+4 x+40 \square Question Help: ⓐ VideV_{i d e} Submit question Message instructor { }^{\text {Message instructor }}

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Problem 2492

Coursera | Online... Google Docs Copy of MONTHLY... Your Personalized... OldSerials | Hindi... Pinterest Save \& Exit Certify Lesson: 4.4 Applications of Logarithmic Fu... HAF SAR 7/12 Question 10 of 12, Step 1 of 1 Correct
Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive. log(z)+log(17)\log (z)+\log (17) Tables Keypad Keyboard Shortcuts

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Problem 2493

3. Sinplify 24\sqrt{-24}

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Problem 2494

0 etc 0\neq 0. A=(32)7×(23)8C=(a5)2×(a2)4\begin{array}{l} A=\left(\frac{3}{2}\right)^{-7} \times\left(\frac{2}{3}\right)^{8} \\ C=\left(a^{5}\right)^{-2} \times\left(a^{-2}\right)^{-4} \end{array}
Exercices: Donnerl'écritu... D=a4b2ab5a3b2a5b\quad D=\frac{a^{4} b^{-2} a b^{-5}}{a^{-3} b^{2} a^{5} b}. B=37×1517×57D=a4b2ab5a3b2a5b.\begin{array}{l} B=3^{7} \times 15^{-17} \times 5^{7} \\ D=\frac{a^{4} b^{-2} a b^{-5}}{a^{-3} b^{2} a^{5} b} . \end{array}

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Problem 2495

h) 10+(25)=10+(-2-5)=

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Problem 2496

Simplify c2d64c3d4\frac{\sqrt{c^{2} d^{6}}}{\sqrt{4 c^{3} d^{4}}} a. dd22c\frac{d^{d^{2}}}{2 \sqrt{c}} c. d32c\frac{d^{3}}{2-c} b. d5c2c\frac{d^{5} \sqrt{c}}{2 c} d. d24c\frac{d^{2}}{4 c}

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Problem 2497

Simplify 2112272523212210\frac{2^{\frac{11}{2}} \cdot 2^{-7} \cdot 2^{-5}}{2^{3} \cdot 2^{\frac{1}{2}} \cdot 2^{-10}}

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Problem 2498

Which expression is equivalent to (16x8y12)12?\left(16 x^{8} y^{-12}\right)^{\frac{1}{2}} ? 4x4y6-4 x^{4} y^{6} 8x4y6-8 x^{4} y^{6} 4x4y6\frac{4 x^{4}}{y^{6}} 8x4y6\frac{8 x^{4}}{y^{6}}

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Problem 2499

Which is the rationalized form of the expression πx+5\frac{\sqrt{\pi}}{\sqrt{x}+\sqrt{5}} ? a. xx+5\frac{x}{x+5} c. x5πx5\frac{x-\sqrt{5 \pi}}{x-5} b. x+5πx5\frac{x+\sqrt{5 \pi}}{x-5} d. 5π5\frac{\sqrt{5 \pi}}{5}
Please select the best answer from the choices provided A B C Mark this and return Save and Exit

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Problem 2500

Simplify 24x6y4\sqrt{24 x^{6} y^{-4}}.

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