Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Mixed Review: 84

Answer

$\frac{1}{16}$

Work Step by Step

We start with the given expression: $(-2)^{-4}$ 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: $\frac{1}{(-2)^4}$ We expand the exponent on the denominator: $\frac{1}{(-2)(-2)(-2)(-2)}=\frac{1}{4\times4}=\frac{1}{16}$
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