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: 5

Answer

Choice F

Work Step by Step

Using the properties of radicals, the expression, $ \sqrt[4]{\dfrac{16a^6}{a^2}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[4]{16a^{6-2}} \\\\= \sqrt[4]{16a^{4}} \\\\= \sqrt[4]{(2a)^4} \\\\= 2a .\end{array} Note that the variable/s is/are assumed to be positive. Hence, $\text{ Choice F .}$
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