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

Guest 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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Rom Apr 5, 2019

edited by Rom Apr 5, 2019

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