Basic Math Examples

${(- i)}^{7}$

Step 1

Apply the product rule to $- i$ .

${(- 1)}^{7} i^{7}$

Step 2

Raise $- 1$ to the power of $7$ .

$- i^{7}$

Step 3

Rewrite $i^{7}$ as $i^{4} (i^{2} \cdot i)$ .

Tap for more steps...

Step 3.1

Factor out $i^{4}$ .

$- (i^{4} i^{3})$

Step 3.2

Factor out $i^{2}$ .

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

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

Step 4

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

Tap for more steps...

Step 4.1

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

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

Step 4.2

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

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

Step 4.3

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

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

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

Step 5

Multiply $i^{2} \cdot i$ by $1$ .

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

Step 6

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

$- (- 1 \cdot i)$

Step 7

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

$- - i$

Step 8

Multiply $- 1$ by $- 1$ .

$1 i$

Step 9

Multiply $i$ by $1$ .

$i$

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