Algebra 1

Published by Prentice Hall

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

Answer

$\frac{1}{9n}$

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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