Simplify 6i(4-6i)

$6 i (4 - 6 i)$

Step 1

Apply the distributive property.

$6 i \cdot 4 + 6 i (- 6 i)$

Step 2

Multiply $4$ by $6$ .

$24 i + 6 i (- 6 i)$

Step 3

Multiply $6 i (- 6 i)$ .

Multiply $- 6$ by $6$ .

$24 i - 36 i i$

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

$24 i - 36 (i^{1} i)$

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

$24 i - 36 (i^{1} i^{1})$

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

$24 i - 36 i^{1 + 1}$

Add $1$ and $1$ .

$24 i - 36 i^{2}$

Step 4

Simplify each term.

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

$24 i - 36 \cdot - 1$

Multiply $- 36$ by $- 1$ .

$24 i + 36$

Step 5

Reorder $24 i$ and $36$ .

$36 + 24 i$