Simplify (-3i)(4i)(-5i)

$(- 3 i) (4 i) (- 5 i)$

Step 1

Multiply $(- 3 i) (4 i)$ .

Multiply $4$ by $- 3$ .

$- 12 i i (- 5 i)$

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

$- 12 (i^{1} i) (- 5 i)$

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

$- 12 (i^{1} i^{1}) (- 5 i)$

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

$- 12 i^{1 + 1} (- 5 i)$

Add $1$ and $1$ .

$- 12 i^{2} (- 5 i)$

Step 2

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

$- 12 \cdot - 1 (- 5 i)$

Step 3

Multiply $- 12$ by $- 1$ .

$12 (- 5 i)$

Step 4

Multiply $- 5$ by $12$ .

$- 60 i$