Simplify (-5i)(2i)(-3i)^2

$(- 5 i) (2 i) {(- 3 i)}^{2}$

Multiply $(- 5 i) (2 i)$ .

Multiply $2$ by $- 5$ .

$- 10 i i {(- 3 i)}^{2}$

Raise $i$ to the power of $1$ .

$- 10 (i^{1} i) {(- 3 i)}^{2}$

Raise $i$ to the power of $1$ .

$- 10 (i^{1} i^{1}) {(- 3 i)}^{2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 10 i^{1 + 1} {(- 3 i)}^{2}$

Add $1$ and $1$ .

$- 10 i^{2} {(- 3 i)}^{2}$

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

$- 10 \cdot - 1 {(- 3 i)}^{2}$

Multiply $- 10$ by $- 1$ .

$10 {(- 3 i)}^{2}$

Apply the product rule to $- 3 i$ .

$10 ({(- 3)}^{2} i^{2})$

Raise $- 3$ to the power of $2$ .

$10 (9 i^{2})$

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

$10 (9 \cdot - 1)$

Multiply $9$ by $- 1$ .

$10 \cdot - 9$

Multiply $10$ by $- 9$ .

$- 90$