9000037403

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9000037403
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Je dané \(z = \sqrt{3}\left (\cos \frac{\pi }{3} + \mathrm{i}\sin \frac{\pi }{3}\right )\), určte \(z^{4}\).
\(-\frac{9} {2} -\frac{9\mathrm{i}\sqrt{3}} {2} \)
\(\frac{9} {2} + \frac{9\mathrm{i}\sqrt{3}} {2} \)
\(\frac{3} {2}\)
\(-\frac{3} {2}\)