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 - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set: 9

Answer

Choice A

Work Step by Step

Using the Product Rule of the laws of exponents which is given by $x^m\cdot x^n=x^{m+n},$ then \begin{array}{l}\require{cancel} x^{1/5}\cdot x^{2/5} \\\\= x^{\frac{1}{5}+\frac{2}{5}} \\\\= x^{\frac{3}{5}} \\\\= x^{3/5} .\end{array} Hence, $\text{ Choice A .}$
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