Simplify i^2+i^4

$i^{2} + i^{4}$

Step 1

Simplify each term.

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

$- 1 + i^{4}$

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

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

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

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

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

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

$- 1 + 1$

$- 1 + 1$

$- 1 + 1$

Step 2

Add $- 1$ and $1$ .

$0$

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