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 R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set: 24

Answer

$\dfrac{a^{4}b^{8}}{c^{12}}$

Work Step by Step

In order to simplify the expression, we distribute the 4 into the parenthesis. Thus, using the laws of exponents, the given expression, $ \left( \dfrac{ab^2}{c^3} \right)^{4} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{a^{1(4)}b^{2(4)}}{c^{3(4)}} \\\\= \dfrac{a^{4}b^{8}}{c^{12}} .\end{array}
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