Question

(\frac{x^{2}}{x^{\frac{3}{4}}})

Explanation:

Step1: Simplify the fraction and exponents

First, we can rewrite the expression as $\frac{x^{2}}{x^{\frac{3}{4}}}\times\frac{1}{3}$ (assuming the original expression is $\frac{x^{2}}{3x^{\frac{3}{4}}}$). Using the rule of exponents $a^{m}\div a^{n}=a^{m - n}$, we have $x^{2-\frac{3}{4}}$ for the $x$ terms.
$2-\frac{3}{4}=\frac{8}{4}-\frac{3}{4}=\frac{5}{4}$, so the $x$ part becomes $x^{\frac{5}{4}}$.

Step2: Combine with the coefficient

The coefficient is $\frac{1}{3}$, so the simplified expression is $\frac{1}{3}x^{\frac{5}{4}}$ or $\frac{x^{\frac{5}{4}}}{3}$.

Answer:

$\frac{x^{\frac{5}{4}}}{3}$ (or $\frac{1}{3}x^{\frac{5}{4}}$)