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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 146. (page 522)

Simplify ${(\frac{7}{9} p q^{4})}^{2}$

Short Answer

Expert verified

The simplified form of the given expression is $\frac{49}{81} p^{2} q^{8}$

Step by step solution

01

Step 1. Given information.

The given expression is ${(\frac{7}{9} p q^{4})}^{2}$ .

02

Step 2. Using the power of product property.

According to Power of product property,

${(a b)}^{m} = a^{m} b^{m}$

Apply this property,

{(\frac{7}{9} p q^{4})}^{2} = {(\frac{7}{9})}^{2} {(p)}^{2} {(q^{4})}^{2} = \frac{49}{81} p^{2} q^{8}

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