Simplify (27xy^7)/(18x^6y)

$\frac{27 x y^{7}}{18 x^{6} y}$

Cancel the common factor of $27$ and $18$ .

Factor $9$ out of $27 x y^{7}$ .

$\frac{9 (3 x y^{7})}{18 x^{6} y}$

Cancel the common factors.

Factor $9$ out of $18 x^{6} y$ .

$\frac{9 (3 x y^{7})}{9 (2 x^{6} y)}$

Cancel the common factor.

$\frac{9 (3 x y^{7})}{9 (2 x^{6} y)}$

Rewrite the expression.

$\frac{3 x y^{7}}{2 x^{6} y}$

$\frac{3 x y^{7}}{2 x^{6} y}$

$\frac{3 x y^{7}}{2 x^{6} y}$

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

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

$\frac{x (3 y^{7})}{2 x^{6} y}$

Cancel the common factors.

Factor $x$ out of $2 x^{6} y$ .

$\frac{x (3 y^{7})}{x (2 x^{5} y)}$

Cancel the common factor.

$\frac{x (3 y^{7})}{x (2 x^{5} y)}$

Rewrite the expression.

$\frac{3 y^{7}}{2 x^{5} y}$

$\frac{3 y^{7}}{2 x^{5} y}$

$\frac{3 y^{7}}{2 x^{5} y}$

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

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

$\frac{y (3 y^{6})}{2 x^{5} y}$

Cancel the common factors.

Factor $y$ out of $2 x^{5} y$ .

$\frac{y (3 y^{6})}{y (2 x^{5})}$

Cancel the common factor.

$\frac{y (3 y^{6})}{y (2 x^{5})}$

Rewrite the expression.

$\frac{3 y^{6}}{2 x^{5}}$

$\frac{3 y^{6}}{2 x^{5}}$

$\frac{3 y^{6}}{2 x^{5}}$

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