Simplify -(3i)^3

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

Step 1

Apply the product rule to $3 i$ .

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

Step 2

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

$- (27 i^{3})$

Step 3

Factor out $i^{2}$ .

$- (27 (i^{2} \cdot i))$

Step 4

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

$- (27 (- 1 \cdot i))$

Step 5

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

$- (27 (- i))$

Step 6

Multiply $- 1$ by $27$ .

$- (- 27 i)$

Step 7

Multiply $- 27$ by $- 1$ .

$27 i$

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