Answer
$20x^{\frac{11}{12}}$
Work Step by Step
Use the formula $a^ba^c=a^{b+c}$ to combine the exponents. Then continue to multiply the other numbers and simplify.
$(5x^{\frac{2}{3}})(4x^{\frac{1}{4}})$
$(5*4)(x^{\frac{2}{3}}x^{\frac{1}{4}})$
$20x^{\frac{2}{3}+\frac{1}{4}}$
$20x^{\frac{8+3}{12}}$
$20x^{\frac{11}{12}}$