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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.410. (page 560)

Simplify the expression using the product to a power property.
${(- 5 a b)}^{3}$

Short Answer

Expert verified

The solution is $- 125 a^{3} b^{3}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(- 5 a b)}^{3}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

${(- 5 a b)}^{3} = {(- 5)}^{3} a^{3} b^{3} {(- 5 a b)}^{3} = - 125 a^{3} b^{3}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $- 125 a^{3} b^{3}$ .

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Most popular questions from this chapter

In the following exercises, find the product of $(r^{2} 鈥� 鈭� 鈥� s^{3}) (r^{3} 鈥� + 鈥� s^{2})$ .

In the following exercises, find the product of ${(k 鈥� 鈭� 鈥� 6)}^{2}$ .

Add or subtract: $(a) 12 q^{2} + 9 q^{2} (b) 8 m n^{3} - (- 5 m n^{3}) .$

Jennifer thinks the quotient $\frac{a^{24}}{a^{6}}$ simplifies to $a^{4}$ .What is wrong with her reasoning

Multiply (a) $(3.5 脳 10^{- 4}) (1.6 脳 10^{- 2})$ to get answer in decimal form

Divide (b) $\frac{8 脳 10^{6}}{4 脳 10^{- 1}}$ to get answer in decimal form

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