Simplify -6i*(6-2i)

$- 6 i \cdot (6 - 2 i)$

Apply the distributive property.

$- 6 i \cdot 6 - 6 i (- 2 i)$

Multiply $6$ by $- 6$ .

$- 36 i - 6 i (- 2 i)$

Multiply $- 6 i (- 2 i)$ .

Multiply $- 2$ by $- 6$ .

$- 36 i + 12 i i$

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

$- 36 i + 12 (i^{1} i)$

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

$- 36 i + 12 (i^{1} i^{1})$

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

$- 36 i + 12 i^{1 + 1}$

Add $1$ and $1$ .

$- 36 i + 12 i^{2}$

Simplify each term.

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

$- 36 i + 12 \cdot - 1$

Multiply $12$ by $- 1$ .

$- 36 i - 12$

Reorder $- 36 i$ and $- 12$ .

$- 12 - 36 i$