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Math Help - Complex roots and powers problem

  1. #1
    RJH
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    Complex roots and powers problem

    [SOLVED] -
    Can anyone help me with this problem?
    Solve (1- √2i)^i for real solution.
    I think you're supposed to get e^ π/2
    Thanks (I really hope it's not embarrassingly easy!)
    Last edited by RJH; February 18th 2009 at 08:02 AM. Reason: Solved
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  2. #2
    Flow Master
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    Quote Originally Posted by RJH View Post
    Can anyone help me with this problem?
    Solve (1- √2i)^i for real solution.
    I think you're supposed to get e^ π/2
    Thanks (I really hope it's not embarrassingly easy!)
    z^c = e^{c \ln z} where \ln z = \ln |z| + (\theta + 2 n \pi) i and n is an integer.

    Are you sure it's not (1 - \sqrt{3} i)^i \, .... ?
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  3. #3
    RJH
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    Positive. I understand that 3 would make things a lot easier but it definately says 2. Its from a textbook and it only gives the result, not the working.
    It could be possible its a mistype or something I suppose...




    Nevermind, I typed it into a complex calculator and the answer came out as complex so it must have been a mistype... sorry
    Last edited by mr fantastic; February 18th 2009 at 05:17 AM. Reason: Merged posts
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