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    Principal Value Proof

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    Prove that if all of the powers invoved are principal values then...

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    https://brainmass.com/math/discrete-math/principal-value-proof-33846

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    a)
    We can write:

    z=r*exp(i*theta)

    1/z=1/r*exp(-i*theta) --->

    (1/z)^c= (1/r)^(c)*exp(-i*c*theta))= r^(-c)*exp(-i*c*theta)= [r*exp(i*theta)]^(-c)= z^(-c)

    Note that we are considering the principal value, so we do not have to worry about c.

    b)

    z=r*exp(i*theta)

    z^c= ...

    Solution Summary

    A Principal Value Proof is provided.

    $2.49

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