Precalculus Examples

$i^{2} + i^{8}$

Step 1

Simplify each term.

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Step 1.1

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

$- 1 + i^{8}$

Step 1.2

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

$- 1 + {(i^{4})}^{2}$

Step 1.3

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

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Step 1.3.1

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

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

Step 1.3.2

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

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

Step 1.3.3

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

$- 1 + 1^{2}$

$- 1 + 1^{2}$

Step 1.4

One to any power is one.

$- 1 + 1$

$- 1 + 1$

Step 2

Add $- 1$ and $1$ .

$0$

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