Simplify (2x^3y^8)/(4y^2)

$\frac{2 \cdot x^{3} y^{8}}{4 \cdot y^{2}}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 \cdot (x^{3} y^{8})$ .

$\frac{2 (x^{3} y^{8})}{4 \cdot y^{2}}$

Cancel the common factors.

Factor $2$ out of $4 \cdot y^{2}$ .

$\frac{2 (x^{3} y^{8})}{2 (2 \cdot y^{2})}$

Cancel the common factor.

$\frac{2 (x^{3} y^{8})}{2 (2 \cdot y^{2})}$

Rewrite the expression.

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

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

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

Cancel the common factor of $y^{8}$ and $y^{2}$ .

Factor $y^{2}$ out of $x^{3} y^{8}$ .

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

Cancel the common factors.

Factor $y^{2}$ out of $2 \cdot y^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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