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 - Page 88: 12

Answer

$\dfrac{1}{16}$

Work Step by Step

The exponent is 4, which means that $-\dfrac{1}{2}$ will be multiplied by itself 4 times. Thus, $\left(-\dfrac{1}{2}\right)^4=\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=\dfrac{1}{16}$
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