Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Chapters R-4 - Cumulative Review Exercises: 3

Answer

$-\dfrac{1}{72}$

Work Step by Step

Using order of operations, the given expression, $ \left(\dfrac{1}{3}\right)^2-\left(\dfrac{1}{2}\right)^3 ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{1}{9}-\dfrac{1}{8} \\\\= \dfrac{8}{72}-\dfrac{9}{72} \\\\= \dfrac{8-9}{72} \\\\= \dfrac{-1}{72} \\\\= -\dfrac{1}{72} .\end{array}
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