Simplify (6i)(-4i)

$(6 i) (- 4 i)$

Step 1

Multiply $(6 i) (- 4 i)$ .

Multiply $- 4$ by $6$ .

$- 24 i i$

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

$- 24 (i^{1} i)$

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

$- 24 (i^{1} i^{1})$

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

$- 24 i^{1 + 1}$

Add $1$ and $1$ .

$- 24 i^{2}$

Step 2

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

$- 24 \cdot - 1$

Step 3

Multiply $- 24$ by $- 1$ .

$24$