#### Answer

$3^{\frac{3}{4}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $
\dfrac{3^{5/8}}{3^{-1/8}}
,$ simplifies to
\begin{array}{l}\require{cancel}
3^{\frac{5}{8}-\left( -\frac{1}{8} \right)}
\\\\=
3^{\frac{5}{8}+\frac{1}{8}}
\\\\=
3^{\frac{6}{8}}
\\\\=
3^{\frac{3}{4}}
.\end{array}