Simplify (5/(uy^2))(-5u^3y)

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

Rewrite using the commutative property of multiplication.

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

Multiply $- 5 \frac{5}{u y^{2}}$ .

Combine $- 5$ and $\frac{5}{u y^{2}}$ .

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

Multiply $- 5$ by $5$ .

$\frac{- 25}{u y^{2}} (u^{3} y)$

Cancel the common factor of $u y$ .

Factor $u y$ out of $u y^{2}$ .

$\frac{- 25}{u y (y)} (u^{3} y)$

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

$\frac{- 25}{u y (y)} (u y (u^{2}))$

Cancel the common factor.

$\frac{- 25}{u y \cdot y} (u y u^{2})$

Rewrite the expression.

$\frac{- 25}{y} u^{2}$

Combine $\frac{- 25}{y}$ and $u^{2}$ .

$\frac{- 25 u^{2}}{y}$

Move the negative in front of the fraction.

$- \frac{25 u^{2}}{y}$