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 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set: 60

Answer

$\dfrac{1}{z^{4}}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{z^{-6}}{z^{-2}} $, is equivalent to \begin{array}{l}\require{cancel} z^{-6-(-2)} \\\\= z^{-6+2} \\\\= z^{-4} \\\\= \dfrac{1}{z^{4}} .\end{array}
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