Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 653: 8


Choice B

Work Step by Step

Multiplying both the numerator and denominator by $ b ,$ the given expression, $ \sqrt[]{\dfrac{a}{b^3}} ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt[]{\dfrac{a}{b^3}} \\\\= \sqrt[]{\dfrac{a}{b^3}\dfrac{b}{b}} \\\\= \sqrt[]{\dfrac{a\cdot b}{b^3\cdot b}} .\end{array} Hence, $\text{ Choice B .}$
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