Precalculus (6th Edition) Blitzer

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

Chapter P - Review Exercises: 26

Answer

$\frac{1}{25}$

Work Step by Step

To multiply powers with the same base, we add the exponents. The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$ We use these rules to rewrite the expression and simplify: $$5^{-3}\cdot 5=5^{-2}=\frac{1}{5^2}=\frac{1}{25}$$
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