Question 668978: Evaluate the expression {2 - 4i}/{8i} and write the result in the form a+ b i.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! you are starting with (2 - 4i) / (8i)
multiply numerator and denominator by i to get:
((2 - 4i) * i) / (8i * i)
multiply these out to get:
(2i-4i^2)/8i^2
since i^2 is equal to sqrt(-1)^2 which is equal to -1, you can substitute (-1) for i^2 to get:
(2i + 4) / -8
since 2 goes into 4 and 8, you can simplify this fraction to get:
(i + 2) / -4
since you have to separate the real part from the imaginary part, this becomes:
i/-4 + 2/-4 which is re-written with the real part first as:
-2/4 - i/4 which can be simplified to:
-1/2 - (1/4)i
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