Simplify (-2i)^4

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

Step 1

Apply the product rule to $- 2 i$ .

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

Step 2

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

$16 i^{4}$

Step 3

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

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

$16 {(i^{2})}^{2}$

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

$16 {(- 1)}^{2}$

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

$16 \cdot 1$

$16 \cdot 1$

Step 4

Multiply $16$ by $1$ .

$16$

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