PreCal
posted by PreCal .
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!

PreCal 
Henry
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. 
PreCal 
PreCal
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.

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