Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - Chapters 1-2 Cumulative Review Problem Set: 9

Answer

$\frac{1}{36}$

Work Step by Step

In order to follow order of operations, we will first simplify the expression within the parenthesis, and then we will square the resultant expression: Step 1: $(\frac{1}{2}-\frac{2}{3})^{2}$ Step 2: $(\frac{1(3)-2(2)}{6})^{2}$ Step 3: $(\frac{3-4}{6})^{2}$ Step 4: $(\frac{-1}{6})^{2}$ Step 5: $\frac{1}{36}$
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