Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set - Page 82: 153


False; The correct statement is: $\dfrac{1}{(-2)^3} = (-2)^{-3}$

Work Step by Step

RECALL: $ a^{-m}=\dfrac{1}{a^m}, a\ne0$ Use the rule above to obtain: $\dfrac{1}{(-2)^3} = (-2)^{-3}$ Thus, the given statement is false. The correct statement is: $\dfrac{1}{(-2)^3} = (-2)^{-3}$
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