Answer
$3^{\frac{5}{8}}$
Work Step by Step
Using laws of exponents, then,
\begin{array}{l}
3^{1/4}\cdot 3^{3/8}
\\\\=
3^{\frac{1}{4}+\frac{3}{8}}
\\\\=
3^{\frac{2}{8}+\frac{3}{8}}
\\\\=
3^{\frac{5}{8}}
.\end{array}
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