Evaluate (x^5y^6)/(xy^2)

$\frac{x^{5} y^{6}}{x y^{2}}$

Step 1

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

Factor $x$ out of $x^{5} y^{6}$ .

$\frac{x (x^{4} y^{6})}{x y^{2}}$

Cancel the common factors.

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

$\frac{x (x^{4} y^{6})}{x (y^{2})}$

Cancel the common factor.

$\frac{x (x^{4} y^{6})}{x y^{2}}$

Rewrite the expression.

$\frac{x^{4} y^{6}}{y^{2}}$

$\frac{x^{4} y^{6}}{y^{2}}$

$\frac{x^{4} y^{6}}{y^{2}}$

Step 2

Cancel the common factor of $y^{6}$ and $y^{2}$ .

Factor $y^{2}$ out of $x^{4} y^{6}$ .

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

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{2} (x^{4} y^{4})}{y^{2} \cdot 1}$

Cancel the common factor.

$\frac{y^{2} (x^{4} y^{4})}{y^{2} \cdot 1}$

Rewrite the expression.

$\frac{x^{4} y^{4}}{1}$

Divide $x^{4} y^{4}$ by $1$ .

$x^{4} y^{4}$

$x^{4} y^{4}$

$x^{4} y^{4}$

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