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: 23

Answer

$\dfrac{y^{6}}{64}$

Work Step by Step

We distribute the 3 into the parenthesis in order to simplify. Furthermore, using the laws of exponents, the given expression, $ \left( \dfrac{y^2}{4} \right)^{3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{y^{2(3)}}{4^3} \\\\= \dfrac{y^{6}}{64} .\end{array}
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