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Complex Root Problem (easy)

  1. Nov 10, 2009 #1
    1. The problem statement, all variables and given/known data

    Use Euler's formula to write [itex]2^{1-i}[/itex] in the form a+ib.

    3. The attempt at a solution

    I know this has to be so simple because I could do this easy if the question was to write [itex]e^{1-i}[/itex] in the form a+ib using Euler's. So what I do not understand is how does 1-i being raised on 2 rather than e change what I need to do to solve it. Thank you.
     
  2. jcsd
  3. Nov 10, 2009 #2

    Dick

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    2^(1-i)=(e^log(2))^(1-i)=e^(log(2)*(1-i)).
     
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