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Math Help - really dumb question

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    15

    really dumb question

    hey im really dumb,
    but is
     (e^{i \pi/4})^ 4
    =
     e^{i \pi}
    because
     (e^{i \pi/4})^ 4 = e^{4 i \pi/4} ?
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  2. #2
    Member
    Joined
    Feb 2010
    Posts
    133

    Good question

    Hello,

    Your computation is correct.

    And you are not dumb.

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  3. #3
    Junior Member
    Joined
    Apr 2010
    Posts
    61
    Congratulations. You have found a fourth root of -1 ( -1=e^{i\pi}). How many others can you find?
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