Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Review Exercises - Page 576: 22

Answer

$\dfrac{3x}{a^\frac{4}{5}b^\frac{4}{5}}$

Work Step by Step

Simplify. $3x(ab)^{\frac{-4}{5}}$ Thus, $3x(ab)^{\frac{-4}{5}}=\dfrac{3x}{(ab)^{\frac{4}{5}}} $ Since, the product raised to a power implies that $(mn)^\frac{p}{q}=(m)^\frac{p}{q}(n)^\frac{p}{q}$ Hence, $3x(ab)^{\frac{-4}{5}}=\dfrac{3x}{a^\frac{4}{5}b^\frac{4}{5}}$
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