Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 418: 50



Work Step by Step

We start with the given expression: $(-2)^{-3}$ 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: We rewrite the expression as follows: $\frac{1}{(-2)^{3}}$ We simplify the power in the denominator: $\frac{1}{(-2)(-2)(-2)}=-\frac{1}{8}$ Since the number $-\frac{1}{8}$ is negative, the expression is negative.
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