Answer
${x^{\frac{7}{12}}}$.
Work Step by Step
The given expression is
$=\frac{\left (x^{\frac{2}{3}}\right )^2}{\left (x^{\frac{1}{4}}\right )^3}$
Use power rule.
$=\frac{x^{\frac{2\cdot 2}{3}}}{x^{\frac{1\cdot 3}{4}}}$
Simplify.
$=\frac{x^{\frac{4}{3}}}{x^{\frac{3}{4}}}$
Divide factors:
$={x^{\frac{4}{3}-\frac{3}{4}}}$
Simplify.
$={x^{\frac{16}{12}-\frac{9}{12}}}$
$={x^{\frac{16-9}{12}}}$
$={x^{\frac{7}{12}}}$.
