Simplify i^5*8

$i^{5} \cdot 8$

Factor out $i^{4}$ .

$i^{4} i \cdot 8$

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

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

${(i^{2})}^{2} i \cdot 8$

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

${(- 1)}^{2} i \cdot 8$

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

$1 i \cdot 8$

$1 i \cdot 8$

Multiply $i$ by $1$ .

$i \cdot 8$

Move $8$ to the left of $i$ .

$8 i$

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