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: 76

Answer

$5^{15/28}$

Work Step by Step

Using the laws of exponents, the given expression, $ \left( 5^{5/4} \right)^{3/7} ,$ simplifies to \begin{array}{l}\require{cancel} 5^{\left( \frac{5}{4} \right) \left( \frac{3}{7} \right)} \\\\= 5^{\frac{15}{28}} \\\\= 5^{15/28} .\end{array}
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