Basic Math Examples

$2 i^{3} i^{4} i$

Step 1

Factor out $i^{2}$ .

$2 (i^{2} \cdot i) i^{4} i$

Step 2

Rewrite $i^{2}$ as $- 1$ .

$2 (- 1 \cdot i) i^{4} i$

Step 3

Rewrite $- 1 i$ as $- i$ .

$2 (- i) i^{4} i$

Step 4

Multiply $- 1$ by $2$ .

$- 2 i i^{4} i$

Step 5

Rewrite $i^{4}$ as $1$ .

Tap for more steps...

Step 5.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$- 2 i {(i^{2})}^{2} i$

Step 5.2

Rewrite $i^{2}$ as $- 1$ .

$- 2 i {(- 1)}^{2} i$

Step 5.3

Raise $- 1$ to the power of $2$ .

$- 2 i \cdot 1 i$

$- 2 i \cdot 1 i$

Step 6

Multiply $- 2$ by $1$ .

$- 2 i i$

Step 7

Multiply $- 2 i i$ .

Tap for more steps...

Step 7.1

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

$- 2 (i^{1} i)$

Step 7.2

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

$- 2 (i^{1} i^{1})$

Step 7.3

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

$- 2 i^{1 + 1}$

Step 7.4

Add $1$ and $1$ .

$- 2 i^{2}$

$- 2 i^{2}$

Step 8

Rewrite $i^{2}$ as $- 1$ .

$- 2 \cdot - 1$

Step 9

Multiply $- 2$ by $- 1$ .

$2$

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