Simplify (xy^7)/(x^3y^4)

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

Step 1

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

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

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

Cancel the common factors.

Factor $x$ out of $x^{3} y^{4}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $y^{7}$ and $y^{4}$ .

Factor $y^{4}$ out of $y^{7}$ .

$\frac{y^{4} y^{3}}{x^{2} y^{4}}$

Cancel the common factors.

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

$\frac{y^{4} y^{3}}{y^{4} x^{2}}$

Cancel the common factor.

$\frac{y^{4} y^{3}}{y^{4} x^{2}}$

Rewrite the expression.

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

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

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

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