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 - Page 244: 79



Work Step by Step

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