Simplify ((2v)/(x^4))(-(4x^4)/(v^6))

$(\frac{2 v}{x^{4}}) (- \frac{4 x^{4}}{v^{6}})$

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

Cancel the common factor of $v$ .

Move the leading negative in $- \frac{2 v}{x^{4}}$ into the numerator.

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

Factor $v$ out of $- 2 v$ .

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

Factor $v$ out of $v^{6}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $x^{4}$ .

Factor $x^{4}$ out of $4 x^{4}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$- 2 \frac{4}{v^{5}}$

Step 4

Combine $- 2$ and $\frac{4}{v^{5}}$ .

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

Step 5

Simplify the expression.

Multiply $- 2$ by $4$ .

$\frac{- 8}{v^{5}}$

Move the negative in front of the fraction.

$- \frac{8}{v^{5}}$