Evaluate i^3=(i^2)i

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

Step 1

Factor out $i^{2}$ .

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

Step 2

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

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

Step 3

Rewrite $- 1 i$ as $- i$ .

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

Step 4

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

$- i = - 1 i$

Step 5

Rewrite $- 1 i$ as $- i$ .

$- i = - i$

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