Answer
$x^{\frac{7}{12}}$
Work Step by Step
Simplify. $(x)^{\frac{1}{3}} \cdot(x)^{\frac{1}{4}} $
Since, the power raised to a same exponent gets add. $(m)^\frac{p}{q}(m)^\frac{r}{s}=(m)^{\frac{p}{q}+\frac{r}{s}}$
Thus, $(x)^{\frac{1}{3}} \cdot(x)^{\frac{1}{4}} =(x)^{\frac{1}{3}+\frac{1}{4}}=x^{\frac{4+3}{12}}$
Hence, $=x^{\frac{7}{12}}$
