Finite Math Examples

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

Step 1

Combine.

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

Step 2

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

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Step 2.1

Move $v$ .

$\frac{2 v^{5} \cdot 2}{5 (v \cdot v)}$

Step 2.2

Multiply $v$ by $v$ .

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

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

Step 3

Cancel the common factor of $v^{5}$ and $v^{2}$ .

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Step 3.1

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

$\frac{v^{2} (2 v^{3} \cdot 2)}{5 v^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{v^{2} (2 v^{3} \cdot 2)}{v^{2} \cdot 5}$

Step 3.2.2

Cancel the common factor.

$\frac{v^{2} (2 v^{3} \cdot 2)}{v^{2} \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{2 v^{3} \cdot 2}{5}$

$\frac{2 v^{3} \cdot 2}{5}$

$\frac{2 v^{3} \cdot 2}{5}$

Step 4

Multiply $2$ by $2$ .

$\frac{4 v^{3}}{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$