Finite Math Examples

$\frac{- 8 v^{9}}{5 v} \cdot \frac{x \cdot 4}{v}$

Step 1

Combine.

$\frac{- 8 v^{9} (x \cdot 4)}{5 v \cdot v}$

Step 2

Multiply $v$ by $v$ by adding the exponents.

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Step 2.1

Move $v$ .

$\frac{- 8 v^{9} (x \cdot 4)}{5 (v \cdot v)}$

Step 2.2

Multiply $v$ by $v$ .

$\frac{- 8 v^{9} (x \cdot 4)}{5 v^{2}}$

Step 3

Cancel the common factor of $v^{9}$ and $v^{2}$ .

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Step 3.1

Factor $v^{2}$ out of $- 8 v^{9} (x \cdot 4)$ .

$\frac{v^{2} (- 8 v^{7} (x \cdot 4))}{5 v^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $v^{2}$ out of $5 v^{2}$ .

$\frac{v^{2} (- 8 v^{7} (x \cdot 4))}{v^{2} \cdot 5}$

Step 3.2.2

Cancel the common factor.

$\frac{v^{2} (- 8 v^{7} (x \cdot 4))}{v^{2} \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{- 8 v^{7} (x \cdot 4)}{5}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $4$ by $- 8$ .

$\frac{- 32 v^{7} x}{5}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{32 v^{7} x}{5}$