Answer
$10x^{\frac{11}{12}}$
Work Step by Step
Recall the rule: $a^{m}a^{n}=a^{m+n}$. Thus, we obtain:
$2x^{\frac{1}{4}}\times5x^{\frac{2}{3}}$
=$(2\times5)\times x^{\frac{1}{4}}\times x^{\frac{2}{3}}$
=$(10)\times x^{\frac{1}{4}+\frac{2}{3}}$
=$(10)\times x^{\frac{3+4(2)}{12}}$
=$(10)\times x^{\frac{11}{12}}$
=$10x^{\frac{11}{12}}$
