+0

# help

0
131
1

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

Apr 5, 2019

$$|z^4| = |z|^4\\ |z^4|^2 = \dfrac{64^2}{25} + \dfrac{48^2}{25} = 256\\ |z^4|=16\\ |z| = \sqrt[4]{16}=2$$