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: 71

Answer

$\dfrac{1}{x^{12}y^{15}}$

Work Step by Step

Using the laws of exponents, the given expression, $ (x^4y^5)^{-3} $, is equivalent to \begin{array}{l}\require{cancel} \dfrac{1}{(x^4y^5)^{3}} \\\\= \dfrac{1}{x^{4(3)}y^{5(3)}} \\\\= \dfrac{1}{x^{12}y^{15}} .\end{array}
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