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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. 148. (page 522)

Simplify the expression ${(5 r^{2})}^{3} {(3 r)}^{2}$

Short Answer

Expert verified

The simplified form of the given expression is $1125 r^{8}$ .

Step by step solution

01

Step 1. Given information.

The given expression is, ${(5 r^{2})}^{3} {(3 r)}^{2}$

02

Step 2. Using power of product property,

${(5 r^{2})}^{3} {(3 r)}^{2} = {(5)}^{3} {(r^{2})}^{3} {(3)}^{2} {(r)}^{2} = 125 脳 r^{6} 脳 9 脳 r^{2} b y u \sin g p r o d u c t p r o p e r t y, = 1125 r^{8}$

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