Answer
$24x^{\frac{11}{12}}$
Work Step by Step
Recall the following rule: $a^{n}\cdot a^{m}=a^{n+m}$. Therefore, we obtain:
$(4x^{\frac{2}{3}})(6x^{\frac{1}{4}})$
$=(4\times6)(x^{\frac{2}{3}+\frac{1}{4}})$
$=(24)(x^{\frac{2(4)+3(1)}{12}})$
$=24x^{\frac{11}{12}}$
