Simplify (125x^7y)/(125x^8y^2)

$\frac{125 x^{7} y}{125 x^{8} y^{2}}$

Step 1

Cancel the common factor of $125$ .

Cancel the common factor.

$\frac{125 x^{7} y}{125 x^{8} y^{2}}$

Rewrite the expression.

$\frac{x^{7} y}{x^{8} y^{2}}$

$\frac{x^{7} y}{x^{8} y^{2}}$

Step 2

Cancel the common factor of $x^{7}$ and $x^{8}$ .

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

$\frac{x^{7} (y)}{x^{8} y^{2}}$

Cancel the common factors.

Factor $x^{7}$ out of $x^{8} y^{2}$ .

$\frac{x^{7} (y)}{x^{7} (x y^{2})}$

Cancel the common factor.

$\frac{x^{7} y}{x^{7} (x y^{2})}$

Rewrite the expression.

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

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

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

Step 3

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

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

$\frac{y^{1}}{x y^{2}}$

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

$\frac{y \cdot 1}{x y^{2}}$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{x y}$

$\frac{1}{x y}$

$\frac{1}{x y}$

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