Simplify (-i)^3

${(- i)}^{3}$

Step 1

Apply the product rule to $- i$ .

${(- 1)}^{3} i^{3}$

Step 2

Raise $- 1$ to the power of $3$ .

$- i^{3}$

Step 3

Factor out $i^{2}$ .

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

Step 4

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

$- (- 1 \cdot i)$

Step 5

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

$- - i$

Step 6

Multiply $- 1$ by $- 1$ .

$1 i$

Step 7

Multiply $i$ by $1$ .

$i$

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