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

$(3 i) (- 2 i) (5 i)$

Step 1

Multiply $(3 i) (- 2 i)$ .

Multiply $- 2$ by $3$ .

$- 6 i i (5 i)$

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

$- 6 (i^{1} i) (5 i)$

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

$- 6 (i^{1} i^{1}) (5 i)$

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

$- 6 i^{1 + 1} (5 i)$

Add $1$ and $1$ .

$- 6 i^{2} (5 i)$

Step 2

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

$- 6 \cdot - 1 (5 i)$

Step 3

Multiply $- 6$ by $- 1$ .

$6 (5 i)$

Step 4

Multiply $5$ by $6$ .

$30 i$