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Math Help - Argument problem

  1. #1
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    Argument problem

    Determine the principal value of (3+j4)^{1+j2} ?
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    Are you asking the find the principal argument of \displaystyle (3 + j^4)^{1 + j^2} with \displaystyle j= \sqrt{-1}?

    If not, what are \displaystyle j4 and \displaystyle j2?
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    \displaystyle (3+j 4)^{1+j 2}= e^{(\ln 5 + j\ \tan^{-1} \frac{4}{3})\ (1+j 2)}= e^{(\ln 5 -2\ \tan^{-1} \frac{4}{3}) + j (2 \ln 5 + \tan^{-1} \frac{4}{3})}

    Kind regards

    \chi \sigma
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    Is it wrong to note that \displaystyle 1 + j^2 = 1 - 1 = 0,

    so \displaystyle (3 + j^4)^{1 + j^2} = (3 + j^4)^0 = 1 + 0i?
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  5. #5
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    Quote Originally Posted by dugongster View Post
    Determine the principal value of (3+j4)^{1+j2} ?
    If this problem is really "Determine the principal value of" (3+4i)^{1+2i}, then that is truly a make-busy work problem.
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