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

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

Step 1

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

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

$\frac{x^{n} (x^{n} y^{n})}{x^{n} y}$

Cancel the common factors.

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

$\frac{x^{n} (x^{n} y^{n})}{x^{n} (y)}$

Cancel the common factor.

$\frac{x^{n} (x^{n} y^{n})}{x^{n} y}$

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

Raise $y$ to the power of $1$ .

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

Factor $y$ out of $y^{1}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$x^{n} y^{n - 1}$

$x^{n} y^{n - 1}$

$x^{n} y^{n - 1}$

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