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: 14

Answer

$\frac{1}{64}$

Work Step by Step

We want to simplify: $2^{-6}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this to rewrite the expression as $\frac{1}{2^6}$. Next, we must simplify the power in the denominator: $\frac{1}{2\times2\times2\times2\times2\times2}=\frac{1}{64}$
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