Level:
Project ID:
2010004617
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Let \( z \in \mathbb{C}\). The value of the argument of \(z^5\) is \(300^{\circ}\) and \(|z|^5=\frac1{32}\). Find \(z\).
\( z=\frac{1}{4}(1+\mathrm{i}\sqrt{3})\)
\( z=\frac{1}{4}(1-\mathrm{i}\sqrt{3})\)
\( z=-\frac{1}{2}\mathrm{i}\)
\( z=\frac{1}{2}(\cos 60^{\circ} - \mathrm{i} \sin 60^{\circ})\)