Simplify (8i)(4i)(-9i)

$(8 i) (4 i) (- 9 i)$

Step 1

Multiply $(8 i) (4 i)$ .

Multiply $4$ by $8$ .

$32 i i (- 9 i)$

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

$32 (i^{1} i) (- 9 i)$

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

$32 (i^{1} i^{1}) (- 9 i)$

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

$32 i^{1 + 1} (- 9 i)$

Add $1$ and $1$ .

$32 i^{2} (- 9 i)$

Step 2

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

$32 \cdot - 1 (- 9 i)$

Step 3

Multiply $32$ by $- 1$ .

$- 32 (- 9 i)$

Step 4

Multiply $- 9$ by $- 32$ .

$288 i$