Answer
$10x^{\frac{2}{3}}$
Work Step by Step
Recall the following rule: $a^{n}\cdot a^{m}=a^{n+m}$. Therefore, we obtain:
$(2x^{\frac{1}{3}})(5x^{\frac{1}{3}})$
$=(2\times5)(x^{\frac{1}{3}+\frac{1}{3}})$
$=(10)(x^{\frac{1+1}{3}})$
$=10x^{\frac{2}{3}}$