# How do you simplify (-3i)(2i)?

Mar 15, 2016

$\left(- 3 i\right) \left(2 i\right) = 6$

#### Explanation:

You have to compute the product as if it was a product of monomial
$\left(- 3 i\right) \left(2 i\right) = - 3 \cdot 2 \cdot i \cdot i = - 6 {i}^{2}$

Now $i$ is the imaginary unit Complex Number Plane

and it's true the following identity:

${i}^{2} = - 1$

$\therefore - 6 {i}^{2} = - 6 \cdot \left(- 1\right) = 6$