Question

If a=3 and b=-2i, then find the value of the ab^{2} in fully simplified form.

Answer 1

Imaginary Numbers

`i = √(-1)`

Solving the Question

We're given:

• a = 3
• b = -2i
• 
  `ab^2` = ?

`ab^2`

⇒ Plug in the values for a and b:

`=(3)(-2i)^2`

⇒ Rewrite i as
`√(-1)`:

`=(3)(-2√(-1))^2`

⇒ Simplify:

`=(3)(-2)^2(√(-1))^2\\=(3)(4)(-1)\\=-12`

Answer

-12