Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.2 - Negative Exponents and Scientific Notation - Vocabulary and Readiness Check - Page 353: 2


D. $\frac{1}{625}$

Work Step by Step

We know that $a^{−n}=\frac{1}{a^{n}}$ (as long as a is a nonzero real number and n is an integer). Therefore, $5^{-4}=\frac{1}{5^{4}}=\frac{1}{5\times5\times5\times5}=\frac{1}{625}$.
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