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: 85



Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{-6a^3b^{-5}}{-3a^7b^{-8}} $, is equivalent to \begin{array}{l}\require{cancel} \dfrac{\cancel{-3}\cdot2a^{3-7}b^{-5-(-8)}}{\cancel{-3}} \\\\= 2a^{-4}b^{3} \\\\= \dfrac{2b^{3}}{a^{4}} .\end{array}
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