Elementary Algebra

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

Chapter 2 - Real Numbers - Chapter 2 Review Problem Set: 7

Answer

$\dfrac{49}{36}$

Work Step by Step

First, add the fractions inside the parentheses. Add the fractions by creating a common denominator of 6 to obtain: $=\left(\dfrac{3}{6} + \dfrac{4}{6}\right)^2 \\=\left(\dfrac{7}{6}\right)^2$ Apply the exponent. The exponent is 2, which means that $\frac{7}{6}$ will be multiplied by itself 2 times. Thus, $\left(\dfrac{7}{6}\right)^2 = \dfrac{7}{6} \cdot \dfrac{7}{6}=\dfrac{49}{36}$
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