Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 417: 25



Work Step by Step

We start with the given expression: $\frac{3^{-2}}{n}$. The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use the rule to rearrange the expression as follows: $\frac{1}{3^2n}$. We expand the exponent in the denominator: $\frac{1}{3\times3n}=\frac{1}{9n}$.
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