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 - Practice: 3

Answer

$\frac{8}{15}$

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, $5^{-1}+3^{-1}=\frac{1}{5}+\frac{1}{3}=\frac{1\times3}{5\times3}+\frac{1\times5}{3\times5}=\frac{3}{15}+\frac{5}{15}=\frac{3+5}{15}=\frac{8}{15}$.
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