Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.2 - More Work with Exponents and Scientific Notation - Vocabulary, Readiness & Video Check - Page 267: 9

Answer

$z^{18}$

Work Step by Step

We are given the expression $(z^{-6})^{-3}$. To simplify, we can use the power rule, which holds that $(a^{m})^{n}=a^{m\times n}$ (where a is a real number, and m and n are integers). $(z^{-6})^{-3}=z^{-6\times-3}=z^{18}$
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