Write in Standard Form -9i(3i-8)

$- 9 i (3 i - 8)$

Apply the distributive property.

$- 9 i (3 i) - 9 i \cdot - 8$

Multiply $- 9 i (3 i)$ .

Multiply $3$ by $- 9$ .

$- 27 i i - 9 i \cdot - 8$

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

$- 27 (i^{1} i) - 9 i \cdot - 8$

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

$- 27 (i^{1} i^{1}) - 9 i \cdot - 8$

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

$- 27 i^{1 + 1} - 9 i \cdot - 8$

Add $1$ and $1$ .

$- 27 i^{2} - 9 i \cdot - 8$

Multiply $- 8$ by $- 9$ .

$- 27 i^{2} + 72 i$

Simplify each term.

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

$- 27 \cdot - 1 + 72 i$

Multiply $- 27$ by $- 1$ .

$27 + 72 i$