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 - Review Exercises: Chapter 10: 5

Answer

TRUE

Work Step by Step

Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the expression, $ x^{2/5} ,$ above is equivalent to $ \sqrt[5]{x^2}=\left( \sqrt[5]{x} \right)^2 .$ Hence, the given statement is $\text{ TRUE .}$
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