Simplify 5i^12

$5 i^{12}$

Step 1

Rewrite $i^{12}$ as ${(i^{4})}^{3}$ .

$5 {(i^{4})}^{3}$

Step 2

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

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

$5 {({(i^{2})}^{2})}^{3}$

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

$5 {({(- 1)}^{2})}^{3}$

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

$5 \cdot 1^{3}$

$5 \cdot 1^{3}$

Step 3

One to any power is one.

$5 \cdot 1$

Step 4

Multiply $5$ by $1$ .

$5$

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