Elementary Algebra

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

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4: 108

Answer

$-2^{4} = -16$

Work Step by Step

$-2^{4} \ne 16$ The mistake here is that my friend thinks it is $(-2)^{4}$, which will give positive $16$ as the answer: $= (-2)^{4}$ $= (-2) \times (-2) \times (-2) \times (-2)$ $= 4 \times 4$ $= 16$ The correct answer is: $= -2^{4}$ $= -(2 \times 2 \times 2 \times 2)$ $= -(4 \times 2 \times 2)$ $= -(8 \times 2)$ $= -16$
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