Simplify (125xy^7)/(125x^6y^7)

$\frac{125 x y^{7}}{125 x^{6} y^{7}}$

Step 1

Cancel the common factor of $125$ .

Cancel the common factor.

$\frac{125 x y^{7}}{125 x^{6} y^{7}}$

Rewrite the expression.

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

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

Step 2

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $y^{7}$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{x^{5}}$

$\frac{1}{x^{5}}$

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