Simplify
$\frac{3^{\frac{1}{5}}}{3^{\frac{1}{3}}}$

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Solution

$\frac{3^{\frac{1}{5}}}{3^{\frac{1}{3}}}$
$= 3^{(\frac{1}{5} - \frac{1}{3})}$
$= 3^{\frac{3 - 5}{15}}$
$= 3^{- \frac{2}{15}}$
$= \frac{1}{3^{\frac{2}{15}}}$

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