Write in Standard Form 2i^3(5-12i)

$2 i^{3} (5 - 12 i)$

Factor out $i^{2}$ .

$2 (i^{2} \cdot i) (5 - 12 i)$

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

$2 (- 1 \cdot i) (5 - 12 i)$

Simplify the expression.

Rewrite $- 1 i$ as $- i$ .

$2 (- i) (5 - 12 i)$

Multiply $- 1$ by $2$ .

$- 2 i (5 - 12 i)$

Apply the distributive property.

$- 2 i \cdot 5 - 2 i (- 12 i)$

Multiply $5$ by $- 2$ .

$- 10 i - 2 i (- 12 i)$

Multiply $- 2 i (- 12 i)$ .

Multiply $- 12$ by $- 2$ .

$- 10 i + 24 i i$

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

$- 10 i + 24 (i^{1} i)$

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

$- 10 i + 24 (i^{1} i^{1})$

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

$- 10 i + 24 i^{1 + 1}$

Add $1$ and $1$ .

$- 10 i + 24 i^{2}$

Simplify each term.

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

$- 10 i + 24 \cdot - 1$

Multiply $24$ by $- 1$ .

$- 10 i - 24$

Reorder $- 10 i$ and $- 24$ .

$- 24 - 10 i$