130k views
2 votes
Please do 33. Performed the indicated operation and express the result as a simplified complex number

Please do 33. Performed the indicated operation and express the result as a simplified-example-1
User Charles R
by
4.1k points

1 Answer

3 votes

Answer:

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.

User Bouke Versteegh
by
3.9k points