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 R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set: 26

Answer

$\dfrac{x^5}{32}$

Work Step by Step

In order to simplify the expression, we distribute the -5 into the parenthesis. Using the laws of exponents, the given expression, $ \left( \dfrac{2}{x} \right)^{-5} ,$ simplifies to \begin{array}{l}\require{cancel} \left( \dfrac{x}{2} \right)^{5} \\\\= \dfrac{x^5}{2^5} \\\\= \dfrac{x^5}{32} .\end{array}
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