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Math Help - Complex Variable question

  1. #1
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    Complex Variable question

    I am not sure if I am posting this in the correct section, please do let me know if I am in the wrong section.
    I need help with the question below

    Prove that \overline{z}^k = \overline{z^k} for every integer k, where we assume that z\not=0 when k is negative.
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  2. #2
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    Re: Complex Variable question

    This follows from the fact that \overline{1/z}=1/\overline{z} and \overline{z}^k = \overline{z^k} for positive k. The latter fact follows by induction from \overline{z_1z_2}=\overline{z}_1\cdot\overline{z}_  2.
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