Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.6 - Integral Exponents and Scientific Notation - Problem Set 5.6 - Page 224: 74



Work Step by Step

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