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Suppose \(z\) is a complex number such that \(z^4 = \frac{64}{5}-\frac{48}{5}i\). Find \(|z|\).

 Apr 5, 2019
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\(|z^4| = |z|^4\\ |z^4|^2 = \dfrac{64^2}{25} + \dfrac{48^2}{25} = 256\\ |z^4|=16\\ |z| = \sqrt[4]{16}=2\)

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 Apr 5, 2019
edited by Rom  Apr 5, 2019

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