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: 6


Choice A

Work Step by Step

Using the properties of radicals, the expression, $ \dfrac{\sqrt[3]{a^6}}{\sqrt[3]{b^9}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt[3]{a^6}}{\sqrt[3]{b^9}} \\\\= \dfrac{\sqrt[3]{(a^2)^3}}{\sqrt[3]{(b^3)^3}} \\\\= \dfrac{a^2}{b^3} .\end{array} Note that the variable/s is/are assumed to be positive. Hence, $\text{ Choice A .}$
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