Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 42

Answer

$\frac{10}{b}$

Work Step by Step

We are given the expression $10b^{-1}$. In general, we know that $a^{-n}=\frac{1}{a^{n}}$ (where a is a nonzero real number and n is an integer). Therefore, $10b^{-1}=10\times\frac{1}{b}=\frac{10}{b}$. Since the 10 is not in parentheses with b, we evaluate the exponent with only $b$ as its base.
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