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: 45



Work Step by Step

Using the laws of exponents, the given expression, $ (5a^{-2}b^{-3})(2a^{-4}b) $, is equivalent to \begin{array}{l} 5(2)a^{-2+(-4)}b^{-3+1} \\\\= 10a^{-6}b^{-2} \\\\= \dfrac{10}{a^{6}b^{2}} .\end{array}
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