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

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $- 9$ by $- 3$ .

$27 i - 3 i (8 i)$

Step 3

Multiply $- 3 i (8 i)$ .

Multiply $8$ by $- 3$ .

$27 i - 24 i i$

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

$27 i - 24 (i^{1} i)$

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

$27 i - 24 (i^{1} i^{1})$

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

$27 i - 24 i^{1 + 1}$

Add $1$ and $1$ .

$27 i - 24 i^{2}$

Step 4

Simplify each term.

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

$27 i - 24 \cdot - 1$

Multiply $- 24$ by $- 1$ .

$27 i + 24$

Step 5

Reorder $27 i$ and $24$ .

$24 + 27 i$