Answer
$15x^{\frac{7}{12}}$
Work Step by Step
Recall the following rule: $a^{n}+a^{m}=a^{n+m}$
Thus, we obtain:
$3x^{\frac{1}{4}}\times 5x^{\frac{1}{3}}$
=$15x^{\frac{1}{4}+\frac{1}{3}}$
=$15x^{\frac{1(3)+1(4)}{12}}$
=$15x^{\frac{4+3}{12}}$
=$15x^{\frac{7}{12}}$