PreCal
posted by PreCal on .
Write each expression in problems 1 to 3 in the form a + bi.
1. (83i)+(6+2i)
2. 4/(2i)
3. (32i)^3
I do not understand at all where to start. I tired looking on google to find a way to solve but I didn't get any real help. So please help me!

1. 8  6 3i + 2i = 2  i.
2. 4 / (2  i),
Multiply numerator and denominator by 2 + i:
(8 + 4i) / (2  i)(2 + i),
(8 + 4i) / (4 + 1) = (8 + 4i) / 5.
3. (3  2i)^3 = (3  2i)^2 (3  2i)=
(9  12i + 4) (3  2i),
(13  12i) (3  2i),
39  26i  36i  24 = 15  62i. 
Alright thank you. Can I also put them in my calculator? I wasn't sure but I did for the first one and got the same answer.

That's fine if you don't have to show
your work. 
Thank you so much for your help!