Simplify i^5

$i^{5}$

Step 1

Factor out $i^{4}$ .

$i^{4} i$

Step 2

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

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

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

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

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

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

$1 i$

$1 i$

Step 3

Multiply $i$ by $1$ .

$i$

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