Basic Math Examples

$2 v^{3} \cdot (4 v^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 4 v^{3} v^{4}$

Step 2

Multiply $v^{3}$ by $v^{4}$ by adding the exponents.

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Step 2.1

Move $v^{4}$ .

$2 \cdot 4 (v^{4} v^{3})$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 \cdot 4 v^{4 + 3}$

Step 2.3

Add $4$ and $3$ .

$2 \cdot 4 v^{7}$

Step 3

Multiply $2$ by $4$ .

$8 v^{7}$