Answer
$x^{13/12}$
Work Step by Step
Using the laws of exponents, the given expression, $
x^{3/4}\cdot x^{1/3}
,$ simplifies to
\begin{array}{l}\require{cancel}
x^{\frac{3}{4}+\frac{1}{3}}
\\\\=
x^{\frac{9}{12}+\frac{4}{12}}
\\\\=
x^{\frac{13}{12}}
\\\\=
x^{13/12}
.\end{array}