Algebra Examples

${(- 2 i)}^{9}$

Step 1

Apply the product rule to $- 2 i$ .

${(- 2)}^{9} i^{9}$

Step 2

Raise $- 2$ to the power of $9$ .

$- 512 i^{9}$

Step 3

Rewrite $i^{9}$ as ${(i^{4})}^{2} i$ .

Tap for more steps...

Step 3.1

Factor out $i^{8}$ .

$- 512 (i^{8} i)$

Step 3.2

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

$- 512 ({(i^{4})}^{2} i)$

$- 512 ({(i^{4})}^{2} i)$

Step 4

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

Tap for more steps...

Step 4.1

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

$- 512 ({({(i^{2})}^{2})}^{2} i)$

Step 4.2

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

$- 512 ({({(- 1)}^{2})}^{2} i)$

Step 4.3

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

$- 512 (1^{2} i)$

$- 512 (1^{2} i)$

Step 5

One to any power is one.

$- 512 (1 i)$

Step 6

Multiply $i$ by $1$ .

$- 512 i$

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