Simplify (x^ny^(2n))/(x^3y^2)

$\frac{x^{n} y^{2 n}}{x^{3} y^{2}}$

Cancel the common factor of $x^{n}$ and $x^{3}$ .

Factor $x^{3}$ out of $x^{n} y^{2 n}$ .

$\frac{x^{3} (x^{n - 3} y^{2 n})}{x^{3} y^{2}}$

Cancel the common factors.

Factor $x^{3}$ out of $x^{3} y^{2}$ .

$\frac{x^{3} (x^{n - 3} y^{2 n})}{x^{3} (y^{2})}$

Cancel the common factor.

$\frac{x^{3} (x^{n - 3} y^{2 n})}{x^{3} y^{2}}$

Rewrite the expression.

$\frac{x^{n - 3} y^{2 n}}{y^{2}}$

Cancel the common factor of $y^{2 n}$ and $y^{2}$ .

Factor $y^{2}$ out of $x^{n - 3} y^{2 n}$ .

$\frac{y^{2} (x^{n - 3} y^{2 n - 2})}{y^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{2} (x^{n - 3} y^{2 n - 2})}{y^{2} \cdot 1}$

Cancel the common factor.

$\frac{y^{2} (x^{n - 3} y^{2 n - 2})}{y^{2} \cdot 1}$

Rewrite the expression.

$\frac{x^{n - 3} y^{2 n - 2}}{1}$

Divide $x^{n - 3} y^{2 n - 2}$ by $1$ .

$x^{n - 3} y^{2 n - 2}$