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Complex numer express (1+i)^9/(1-i)^9

  1. Jun 3, 2014 #1
    1. The problem statement, all variables and given/known data

    i express (1+i)^9 as 16surd9(cos (9pi/4) +i sin (9pi/4)) and (1-i)^9 as 16surd9(cos (-9pi/4) -i sin (9pi/4)) , then i divide both, but my ans is (1+i)/(1-i) , which is differnt with the ans given, why cant i do in this way? i have attached the sample ans

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Jun 3, 2014 #2

    D H

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    Staff Emeritus
    Science Advisor

    First off, what do you mean by "16surd9"? Two wrongs sometimes cancel to make a right, as is the case here. But you should show how you derived that factor. There's a misunderstanding on your part.

    Next, you didn't show how you "divided both". You showed the answer sheet. Show your work.
     
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