Answer
$x^3y^2$.
Work Step by Step
Use $x^{12}=(x^3)^4$ and $y^8=(y^2)^4$.
$=\sqrt[4]{(x^3)^4(y^2)^4}$
Separate using the rule $\sqrt[n]{a\cdot b}=\sqrt[n]{a} \cdot \sqrt[n]{b}, a,b>0$ to obtain:.
$=\sqrt[4]{(x^3)^4}\sqrt[4]{(y^2)^4}$
Simplify.
$=x^3y^2$
Hence, the correct answer is $x^3y^2$.
