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: 120

Answer

$\dfrac{y^6}{z^{12}}$

Work Step by Step

Using the laws of exponents, the given expression, $ (y^{-2}z^4)^{-3} ,$ is equivalent to \begin{array}{l}\require{cancel} y^{-2(-3)}z^{4(-3)} \\\\= y^{6}z^{-12} \\\\= \dfrac{y^6}{z^{12}} .\end{array}
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