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 - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set: 21

Answer

$\sqrt[5]{(x-2)^3}$

Work Step by Step

Using $\sqrt[a]{x}\sqrt[a]{y}=\sqrt[a]{xy}$, the given expression, $ \sqrt[5]{x-2}\sqrt[5]{(x-2)^2} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[5]{(x-2)(x-2)^2} \\\\= \sqrt[5]{(x-2)^3} .\end{array}
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