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 - 4.1 Exponents and Their Properties - 4.1 Exercise Set - Page 236: 78



Work Step by Step

Using $\left(\dfrac{a}{b}\right)^x=\dfrac{a^x}{b^x}$, then the expression, $ \left(\dfrac{4x}{3}\right)^3 $, simplifies to \begin{array}{l}\require{cancel} \dfrac{(4x)^3}{3^3} \\\\= \dfrac{(4x)^3}{27} .\end{array} Using $(ab)^x=a^xb^x$, then the expression, $ \dfrac{(4x)^3}{27} $, simplifies to \begin{array}{l}\require{cancel} \dfrac{4^3x^3}{27} \\\\= \dfrac{64x^3}{27} .\end{array}
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