Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises - Page 278: 119

Answer

$\dfrac{z^{4}}{x^3}$

Work Step by Step

Using the laws of exponents, the given expression, $ (z^{-4}x^3)^{-1} ,$ is equivalent to \begin{array}{l}\require{cancel} z^{-4(-1)}x^{3(-1)} \\\\= z^{4}x^{-3} \\\\= \dfrac{z^{4}}{x^3} .\end{array}
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