Simplify (125x^8y^6)/(125xy^5)

$\frac{125 x^{8} y^{6}}{125 x y^{5}}$

Step 1

Cancel the common factor of $125$ .

Cancel the common factor.

$\frac{125 x^{8} y^{6}}{125 x y^{5}}$

Rewrite the expression.

$\frac{x^{8} y^{6}}{x y^{5}}$

$\frac{x^{8} y^{6}}{x y^{5}}$

Step 2

Cancel the common factor of $x^{8}$ and $x$ .

Factor $x$ out of $x^{8} y^{6}$ .

$\frac{x (x^{7} y^{6})}{x y^{5}}$

Cancel the common factors.

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

$\frac{x (x^{7} y^{6})}{x (y^{5})}$

Cancel the common factor.

$\frac{x (x^{7} y^{6})}{x y^{5}}$

Rewrite the expression.

$\frac{x^{7} y^{6}}{y^{5}}$

$\frac{x^{7} y^{6}}{y^{5}}$

$\frac{x^{7} y^{6}}{y^{5}}$

Step 3

Cancel the common factor of $y^{6}$ and $y^{5}$ .

Factor $y^{5}$ out of $x^{7} y^{6}$ .

$\frac{y^{5} (x^{7} y)}{y^{5}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{5} (x^{7} y)}{y^{5} \cdot 1}$

Cancel the common factor.

$\frac{y^{5} (x^{7} y)}{y^{5} \cdot 1}$

Rewrite the expression.

$\frac{x^{7} y}{1}$

Divide $x^{7} y$ by $1$ .

$x^{7} y$

$x^{7} y$

$x^{7} y$

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