Basic Math Examples

$v^{2} \cdot (18 v) + 80$

Step 1

Factor $2$ out of $v^{2} \cdot (18 v) + 80$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $v^{2} \cdot (18 v)$ .

$2 (v^{2} \cdot (9 v)) + 80$

Step 1.2

Factor $2$ out of $80$ .

$2 (v^{2} \cdot (9 v)) + 2 (40)$

Step 1.3

Factor $2$ out of $2 (v^{2} \cdot (9 v)) + 2 (40)$ .

$2 (v^{2} \cdot (9 v) + 40)$

Step 2

Rewrite using the commutative property of multiplication.

$2 (9 v^{2} v + 40)$

Step 3

Multiply $v^{2}$ by $v$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $v$ .

$2 (9 (v \cdot v^{2}) + 40)$

Step 3.2

Multiply $v$ by $v^{2}$ .

Tap for more steps...

Step 3.2.1

Raise $v$ to the power of $1$ .

$2 (9 (v^{1} v^{2}) + 40)$

Step 3.2.2

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

$2 (9 v^{1 + 2} + 40)$

Step 3.3

Add $1$ and $2$ .

$2 (9 v^{3} + 40)$