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: 81

Answer

$\dfrac{27b^{12}}{8a^{6}}$

Work Step by Step

Using the laws of exponents, the given expression, $ \left( \dfrac{2a^2}{3b^4} \right)^{-3} $, is equivalent to \begin{array}{l}\require{cancel} \left( \dfrac{3b^4}{2a^2} \right)^{3} \\\\= \dfrac{3^3b^{4(3)}}{2^3a^{2(3)}} \\\\= \dfrac{27b^{12}}{8a^{6}} .\end{array}
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