Elementary Algebra

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

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Concept Quiz 11.3: 6

Answer

False.

Work Step by Step

We start with the given expression: $-16^{-3}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression: $-\frac{1}{16^3}$ We simplify the exponent in the denominator: $-\frac{1}{4096}$. Since $-\frac{1}{4096}\ne\frac{1}{64}$, these expressions are not equivalent.
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