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: 80

Answer

$x^{6}y^3z^{15}$

Work Step by Step

Using the laws of exponents, the given expression, $ \left( \dfrac{x^2y}{z^{-5}} \right)^{3} $, is equivalent to \begin{array}{l}\require{cancel} \dfrac{x^{2(3)}y^3}{z^{-5(3)}} \\\\= \dfrac{x^{6}y^3}{z^{-15}} \\\\= x^{6}y^3z^{15} .\end{array}
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