## Calculus with Applications (10th Edition)

Published by Pearson

# Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 40

1

#### Work Step by Step

$\displaystyle \frac{3^{-5/2}\cdot 3^{3/2}}{3^{7/2}\cdot 3^{-9/2}}$=...use: $a^{m}\cdot a^{n}=a^{m+n}$ = $\displaystyle \frac{3^{-5/2+3/2}}{3^{7/2-9/2}}$ =$\displaystyle \frac{3^{-2/2}}{3^{-2/2}}$ =$\displaystyle \frac{3^{-1}}{3^{-1}}$ = 1

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