Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Review Exercises - Page 142: 25

Answer

$\frac{5}{16}$

Work Step by Step

The negative exponent rule states that for every nonzero number $a$ and nonzero integer $n$, $a^{-n}=\frac{1}{a^n}$ We use this rule to rewrite the expression and simplify: $$2^{-4}+4^{-1}=\frac{1}{2^4}+\frac{1}{4}=\frac{1}{16}+\frac{4}{16}=\frac{5}{16}$$
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