Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 35

Answer

$\frac{9}{4}$

Work Step by Step

Step 1: $(\frac{8}{27})^{-\frac{2}{3}}$ Step 2: $(\frac{2^{3}}{3^{3}})^{-\frac{2}{3}}$ Step 3: $\frac{(2^{3})^{-\frac{2}{3}}}{(3^{3})^{-\frac{2}{3}}}$ Step 4: Simplifying the indexes, $\frac{2^{-2}}{3^{-2}}$ Step 5: Simplifying further, $\frac{3^{2}}{2^{2}}$ = $\frac{9}{4}$
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