Simplify (-4x^3*5y^5)/(x^8*2y^2)

$\frac{- 4 x^{3} \cdot 5 y^{5}}{x^{8} \cdot 2 y^{2}}$

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

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Factor $2$ out of $- 4 x^{3} \cdot (5 y^{5})$ .

$\frac{2 (- 2 x^{3} \cdot (5 y^{5}))}{x^{8} \cdot (2 y^{2})}$

Cancel the common factors.

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

$\frac{2 (- 2 x^{3} \cdot (5 y^{5}))}{2 (x^{8} \cdot (y^{2}))}$

Cancel the common factor.

$\frac{2 (- 2 x^{3} \cdot (5 y^{5}))}{2 (x^{8} \cdot (y^{2}))}$

Rewrite the expression.

$\frac{- 2 x^{3} \cdot (5 y^{5})}{x^{8} \cdot (y^{2})}$

Cancel the common factor of $x^{3}$ and $x^{8}$ .

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Factor $x^{3}$ out of $- 2 x^{3} \cdot (5 y^{5})$ .

$\frac{x^{3} (- 2 \cdot (5 y^{5}))}{x^{8} \cdot (y^{2})}$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 2 \cdot (5 y^{5})}{x^{5} \cdot y^{2}}$

Cancel the common factor of $y^{5}$ and $y^{2}$ .

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Factor $y^{2}$ out of $- 2 \cdot (5 y^{5})$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the expression.

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Multiply $- 2$ by $5$ .

$\frac{- 10 y^{3}}{x^{5}}$

Move the negative in front of the fraction.

$- \frac{10 y^{3}}{x^{5}}$

Simplify (-4x^3*5y^5)/(x^8*2y^2)

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