Simplify ((5v^3)/(u^6))(-(6u^2)/(v^4))

$(\frac{5 v^{3}}{u^{6}}) (- \frac{6 u^{2}}{v^{4}})$

Rewrite using the commutative property of multiplication.

$- \frac{5 v^{3}}{u^{6}} \cdot \frac{6 u^{2}}{v^{4}}$

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

Move the leading negative in $- \frac{5 v^{3}}{u^{6}}$ into the numerator.

$\frac{- 5 v^{3}}{u^{6}} \cdot \frac{6 u^{2}}{v^{4}}$

Factor $v^{3}$ out of $- 5 v^{3}$ .

$\frac{v^{3} \cdot - 5}{u^{6}} \cdot \frac{6 u^{2}}{v^{4}}$

Factor $v^{3}$ out of $v^{4}$ .

$\frac{v^{3} \cdot - 5}{u^{6}} \cdot \frac{6 u^{2}}{v^{3} v}$

Cancel the common factor.

$\frac{v^{3} \cdot - 5}{u^{6}} \cdot \frac{6 u^{2}}{v^{3} v}$

Rewrite the expression.

$\frac{- 5}{u^{6}} \cdot \frac{6 u^{2}}{v}$

Cancel the common factor of $u^{2}$ .

Factor $u^{2}$ out of $u^{6}$ .

$\frac{- 5}{u^{2} u^{4}} \cdot \frac{6 u^{2}}{v}$

Factor $u^{2}$ out of $6 u^{2}$ .

$\frac{- 5}{u^{2} u^{4}} \cdot \frac{u^{2} \cdot 6}{v}$

Cancel the common factor.

$\frac{- 5}{u^{2} u^{4}} \cdot \frac{u^{2} \cdot 6}{v}$

Rewrite the expression.

$\frac{- 5}{u^{4}} \cdot \frac{6}{v}$

Multiply $\frac{- 5}{u^{4}}$ by $\frac{6}{v}$ .

$\frac{- 5 \cdot 6}{u^{4} v}$

Simplify the expression.

Multiply $- 5$ by $6$ .

$\frac{- 30}{u^{4} v}$

Move the negative in front of the fraction.

$- \frac{30}{u^{4} v}$