Question

Please do 33. Performed the indicated operation and express the result as a simplified complex number

Answer 1

4 - 6i

Step-by-step explanation:

The given expression is

`(6+4i)/(i)`

To simplify the expression, we need to multiply by i in the numerator and denominator, so

`(6+4i)/(i)\cdot(i)/(i)=((6+4i)i)/(i^2)=(6i+4i^2)/(i^2)`

Since i² = -1, we get

`(6i+4(-1))/((-1))=(6i-4)/(-1)=-6i+4`

Therefore, the answer is 4 - 6i.