Basic Math Examples

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

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

Step 1

Rewrite using the commutative property of multiplication.

4 \cdot 3 v^{3} v

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

Step 2

Multiply

v^{3}

$v^{3}$ by

v

$v$ by adding the exponents.

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Step 2.1

Move

v

$v$ .

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

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

Step 2.2

Multiply

v

$v$ by

v^{3}

$v^{3}$ .

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Step 2.2.1

Raise

v

$v$ to the power of

1

$1$ .

4 \cdot 3 (v^{1} v^{3})

$4 \cdot 3 (v^{1} v^{3})$

Step 2.2.2

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

4 \cdot 3 v^{1 + 3}

$4 \cdot 3 v^{1 + 3}$

4 \cdot 3 v^{1 + 3}

$4 \cdot 3 v^{1 + 3}$

Step 2.3

Add

1

$1$ and

3

$3$ .

4 \cdot 3 v^{4}

$4 \cdot 3 v^{4}$

4 \cdot 3 v^{4}

$4 \cdot 3 v^{4}$

Step 3

Multiply

4

$4$ by

3

$3$ .

12 v^{4}

$12 v^{4}$