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 - Page 641: 71



Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{3^{5/8}}{3^{-1/8}} ,$ simplifies to \begin{array}{l}\require{cancel} 3^{\frac{5}{8}-\left( -\frac{1}{8} \right)} \\\\= 3^{\frac{5}{8}+\frac{1}{8}} \\\\= 3^{\frac{6}{8}} \\\\= 3^{\frac{3}{4}} .\end{array}
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