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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 147. (page 522)

Simplify the expression ${(8 a^{3})}^{2} {(2 a)}^{4}$ .

Short Answer

Expert verified

The simplified form of the given expression is $1024 a^{10}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(8 a^{3})}^{2} {(2 a)}^{4}$ .

02

Step 2. Using the power of product property,

{(8 a^{3})}^{2} {(2 a)}^{4} = {(8)}^{2} {(a^{3})}^{2} {(2)}^{4} {(a)}^{4} = 64 \times a^{6} \times 16 \times a^{4} u s e p r o d u c t p r o p e r t y, = 1024 a^{10}

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Most popular questions from this chapter

Multiply (a) $(3 \times 10^{- 5}) (3 \times 10^{9})$ to get answer in decimal form

Divide (b) $\frac{7 \times 10^{- 3}}{1 \times 10^{- 7}}$ to get answer in decimal form

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${(5 u^{2} + 9)}^{2}$

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