Basic Math Examples

$2 u^{0} v^{- 2} \cdot {(v^{2})}^{2}$

Step 1

Anything raised to $0$ is $1$ .

$2 \cdot 1 v^{- 2} \cdot {(v^{2})}^{2}$

Step 2

Multiply $2$ by $1$ .

$2 v^{- 2} \cdot {(v^{2})}^{2}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$2 \frac{1}{v^{2}} \cdot {(v^{2})}^{2}$

Step 4

Combine $2$ and $\frac{1}{v^{2}}$ .

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

Step 5

Multiply the exponents in ${(v^{2})}^{2}$ .

Tap for more steps...

Step 5.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 5.2

Multiply $2$ by $2$ .

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

Step 6

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

Tap for more steps...

Step 6.1

Factor $v^{2}$ out of $v^{4}$ .

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

Step 6.2

Cancel the common factor.

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

Step 6.3

Rewrite the expression.

$2 \cdot v^{2}$

$2 v^{2}$