Simplify (8xy)/(2x^3y^7)

$\frac{8 x y}{2 x^{3} y^{7}}$

Step 1

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 x y$ .

$\frac{2 (4 x y)}{2 x^{3} y^{7}}$

Cancel the common factors.

Factor $2$ out of $2 x^{3} y^{7}$ .

$\frac{2 (4 x y)}{2 (x^{3} y^{7})}$

Cancel the common factor.

$\frac{2 (4 x y)}{2 (x^{3} y^{7})}$

Rewrite the expression.

$\frac{4 x y}{x^{3} y^{7}}$

$\frac{4 x y}{x^{3} y^{7}}$

$\frac{4 x y}{x^{3} y^{7}}$

Step 2

Cancel the common factor of $x$ and $x^{3}$ .

Factor $x$ out of $4 x y$ .

$\frac{x (4 y)}{x^{3} y^{7}}$

Cancel the common factors.

Factor $x$ out of $x^{3} y^{7}$ .

$\frac{x (4 y)}{x (x^{2} y^{7})}$

Cancel the common factor.

$\frac{x (4 y)}{x (x^{2} y^{7})}$

Rewrite the expression.

$\frac{4 y}{x^{2} y^{7}}$

$\frac{4 y}{x^{2} y^{7}}$

$\frac{4 y}{x^{2} y^{7}}$

Step 3

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

Factor $y$ out of $4 y$ .

$\frac{y \cdot 4}{x^{2} y^{7}}$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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