Algebra Examples

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

Step 1

Apply the product rule to $- i$ .

${(- 1)}^{8} i^{8}$

Step 2

Raise $- 1$ to the power of $8$ .

$1 i^{8}$

Step 3

Multiply $i^{8}$ by $1$ .

$i^{8}$

Step 4

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

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

Step 5

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

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Step 5.1

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

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

Step 5.2

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

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

Step 5.3

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

$1^{2}$

$1^{2}$

Step 6

One to any power is one.

$1$

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