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: 46

Answer

$\dfrac{6}{a^{4}b^{9}}$

Work Step by Step

Using the laws of exponents, the given expression, $ (3a^{-5}b^{-7})(2ab^{-2}) $, is equivalent to \begin{array}{l} 3(2)a^{-5+1}b^{-7+(-2)} \\\\= 6a^{-4}b^{-9} \\\\= \dfrac{6}{a^{4}b^{9}} .\end{array}
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