I'm guessing that if [itex]z\in \mathbb C[/itex], then we have(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\left| z^{-1/2} \right|^2 = |z^{-1}| = |z|^{-1} = \frac{1}{|z|}.

[/tex]

Proving this seems to be a real headache though. Is there a quick/easy way to do this?

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# An algebraic property of complex numbers

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