Simplify (20x^3y^8)/(-5x^3y)

$\frac{20 x^{3} y^{8}}{- 5 x^{3} y}$

Cancel the common factor of $20$ and $- 5$ .

Factor $5$ out of $20 x^{3} y^{8}$ .

$\frac{5 (4 x^{3} y^{8})}{- 5 x^{3} y}$

Cancel the common factors.

Factor $5$ out of $- 5 x^{3} y$ .

$\frac{5 (4 x^{3} y^{8})}{5 (- x^{3} y)}$

Cancel the common factor.

$\frac{5 (4 x^{3} y^{8})}{5 (- x^{3} y)}$

Rewrite the expression.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{4 y^{8}}{- 1 y}$

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

Factor $y$ out of $4 y^{8}$ .

$\frac{y (4 y^{7})}{- 1 y}$

Move the negative one from the denominator of $\frac{4 y^{7}}{- 1}$ .

$- 1 \cdot (4 y^{7})$

Simplify the expression.

Rewrite $- 1 \cdot (4 y^{7})$ as $- (4 y^{7})$ .

$- (4 y^{7})$

Multiply $4$ by $- 1$ .

$- 4 y^{7}$