Evaluate (x^2y^5)/(xy^4)

$\frac{x^{2} y^{5}}{x y^{4}}$

Step 1

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

Factor $x$ out of $x^{2} y^{5}$ .

$\frac{x (x y^{5})}{x y^{4}}$

Cancel the common factors.

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

$\frac{x (x y^{5})}{x (y^{4})}$

Cancel the common factor.

$\frac{x (x y^{5})}{x y^{4}}$

Rewrite the expression.

$\frac{x y^{5}}{y^{4}}$

$\frac{x y^{5}}{y^{4}}$

$\frac{x y^{5}}{y^{4}}$

Step 2

Cancel the common factor of $y^{5}$ and $y^{4}$ .

Factor $y^{4}$ out of $x y^{5}$ .

$\frac{y^{4} (x y)}{y^{4}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{4} (x y)}{y^{4} \cdot 1}$

Cancel the common factor.

$\frac{y^{4} (x y)}{y^{4} \cdot 1}$

Rewrite the expression.

$\frac{x y}{1}$

Divide $x y$ by $1$ .

$x y$

$x y$

$x y$

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