Simplify (x^4y^2)/(xy)

$\frac{x^{4} y^{2}}{x y}$

Step 1

Cancel the common factor of $x^{4}$ and $x$ .

Factor $x$ out of $x^{4} y^{2}$ .

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

Cancel the common factors.

Factor $x$ out of $x y$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

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

$\frac{y (x^{3} y)}{y}$

Cancel the common factors.

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

$\frac{y (x^{3} y)}{y^{1}}$

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{x^{3} y}{1}$

Divide $x^{3} y$ by $1$ .

$x^{3} y$

$x^{3} y$

$x^{3} y$

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