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: 77

Answer

$\dfrac{9}{a^{8}}$

Work Step by Step

Using the laws of exponents, the given expression, $ \left( \dfrac{a^4}{3} \right)^{-2} $, is equivalent to \begin{array}{l}\require{cancel} \left( \dfrac{3}{a^4} \right)^{2} \\\\= \dfrac{3^2}{a^{4(2)}} \\\\= \dfrac{9}{a^{8}} .\end{array}
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