Simplify 4i(-6i)^2

$4 i {(- 6 i)}^{2}$

Step 1

Apply the product rule to $- 6 i$ .

$4 i ({(- 6)}^{2} i^{2})$

Step 2

Raise $- 6$ to the power of $2$ .

$4 i (36 i^{2})$

Step 3

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

$4 i (36 \cdot - 1)$

Step 4

Multiply $36$ by $- 1$ .

$4 i \cdot - 36$

Step 5

Multiply $- 36$ by $4$ .

$- 144 i$

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