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 - Lesson Check: 1

Answer

$\frac{1}{32}$

Work Step by Step

The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. Therefore, $2^{-5}=\frac{1}{2^{5}}$ Finally, we simplify the exponent on the denominator by expansion giving us: $\frac{1}{2\times2\times2\times2\times2}=\frac{1}{4\times4\times2}=\frac{1}{32}$
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