Simplify (-4i^3)^2

${(- 4 i^{3})}^{2}$

Step 1

Factor out $i^{2}$ .

${(- 4 (i^{2} \cdot i))}^{2}$

Step 2

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

${(- 4 (- 1 \cdot i))}^{2}$

Step 3

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

${(- 4 (- i))}^{2}$

Step 4

Multiply $- 1$ by $- 4$ .

${(4 i)}^{2}$

Step 5

Apply the product rule to $4 i$ .

$4^{2} i^{2}$

Step 6

Raise $4$ to the power of $2$ .

$16 i^{2}$

Step 7

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

$16 \cdot - 1$

Step 8

Multiply $16$ by $- 1$ .

$- 16$

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