SOLUTION: Write in standard form: (3-3i)/(4i)

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Question 148309: Write in standard form: (3-3i)/(4i)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

%283-3i%29%2F%284i%29 Start with the given expression.


%28%283-3i%29%2F%284i%29%29%28i%2Fi%29 Multiply the fraction by i%2Fi


%28%283-3i%29i%29%2F%28%284i%29i%29 Combine the fractions


%283i-3i%5E2%29%2F%284i%5E2%29 Distribute and multiply


%283i-3%28-1%29%29%2F%284%28-1%29%29 Replace i%5E2 with -1


%283i%2B3%29%2F%28-4%29 Multiply


%283i%29%2F%28-4%29%2B%283%29%2F%28-4%29 Break up the fraction


-%283%2F4%29i-3%2F4 Reduce


-3%2F4-%283%2F4%29i Rearrange the terms.



Now the number is in standard form a+bi where a=-3%2F4 and b=-3%2F4