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Math Help - show a modulus

  1. #1
    Junior Member
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    show a modulus

    How to show that
    |\exp(\frac{-x}{a+b i})| = \exp(\frac{ax}{a^2+b^2})

    where x, a and b are real and i is the complex unit and | | means the modulus
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  2. #2
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    Re: show a modulus

    Quote Originally Posted by hurz View Post
    How to show that
    |\exp(\frac{-x}{a+b i})| = \exp(\frac{ax}{a^2+b^2})
    Do you know that \left| {\exp \left( z \right)} \right| = \exp \left( {\text{Re} (z)} \right)~?

    Do you know that \frac{{ - x}}{{a + bi}} = \frac{{ - ax + bxi}}{{a^2  + b^2 }}~?

    Now as it stands you have a sign error in what you posted.
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