Answer
$x^2y^2$
Work Step by Step
RECALL:
The quotient rule:
$\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\dfrac{a}{b}}$
where
$\sqrt[n]{a}$ and $\sqrt[n]{b}$ are real numbers and $b\ne0$
Use the rule above to obtain:
$\require{cancel}=\sqrt{\dfrac{x^7y^6}{x^3y^2}}
\\=\sqrt{\dfrac{x^4\cancel{x^7}\cancel{y^6}y^4}{\cancel{x^3y^2}}}
\\=\sqrt{x^4y^4}
\\=\sqrt{(x^2y^2)^2}$
Simplify to obtain:
$=x^2y^2$
