Simplify (-5i)(6i)

$(- 5 i) (6 i)$

Step 1

Multiply $(- 5 i) (6 i)$ .

Multiply $6$ by $- 5$ .

$- 30 i i$

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

$- 30 (i^{1} i)$

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

$- 30 (i^{1} i^{1})$

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

$- 30 i^{1 + 1}$

Add $1$ and $1$ .

$- 30 i^{2}$

Step 2

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

$- 30 \cdot - 1$

Step 3

Multiply $- 30$ by $- 1$ .

$30$