Simplify (11xy^6)/(2x^8y^2)

$\frac{11 x y^{6}}{2 x^{8} y^{2}}$

Step 1

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

Factor $x$ out of $11 x y^{6}$ .

$\frac{x (11 y^{6})}{2 x^{8} y^{2}}$

Cancel the common factors.

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

$\frac{x (11 y^{6})}{x (2 x^{7} y^{2})}$

Cancel the common factor.

$\frac{x (11 y^{6})}{x (2 x^{7} y^{2})}$

Rewrite the expression.

$\frac{11 y^{6}}{2 x^{7} y^{2}}$

$\frac{11 y^{6}}{2 x^{7} y^{2}}$

$\frac{11 y^{6}}{2 x^{7} y^{2}}$

Step 2

Cancel the common factor of $y^{6}$ and $y^{2}$ .

Factor $y^{2}$ out of $11 y^{6}$ .

$\frac{y^{2} (11 y^{4})}{2 x^{7} y^{2}}$

Cancel the common factors.

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

$\frac{y^{2} (11 y^{4})}{y^{2} (2 x^{7})}$

Cancel the common factor.

$\frac{y^{2} (11 y^{4})}{y^{2} (2 x^{7})}$

Rewrite the expression.

$\frac{11 y^{4}}{2 x^{7}}$

$\frac{11 y^{4}}{2 x^{7}}$

$\frac{11 y^{4}}{2 x^{7}}$

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