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: 75

Answer

$\dfrac{b^{5}c^{4}}{a^{8}}$

Work Step by Step

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