Simplify 3i*(4i)

$3 i \cdot (4 i)$

Step 1

Multiply $3 i (4 i)$ .

Multiply $4$ by $3$ .

$12 i i$

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

$12 (i^{1} i)$

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

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

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

$12 i^{1 + 1}$

Add $1$ and $1$ .

$12 i^{2}$

Step 2

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

$12 \cdot - 1$

Step 3

Multiply $12$ by $- 1$ .

$- 12$