Answer
$\frac{n^2}{36}$
Work Step by Step
The given expression is
$=(\frac{6}{n})^{-2}$
Use $(\frac{a}{b})^{n}=\frac{a^n}{b^n}$.
$=\frac{6^{-2}}{n^{-2}}$
Use $a^{-n}=\frac{1}{a^n}$.
$=\frac{n^2}{6^{2}}$
Use $6^2=36$.
$=\frac{n^2}{36}$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Exercises - Page 297: 39
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