(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate [tex]z^{60}[/tex], where [tex]z = -1 + i\sqrt{3}[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]z = 2(\cos(\frac{2\pi}{3}) + i\sin(\frac{2\pi}{3})[/tex]

[tex]z^{60} = 2^{60}(\cos(40\pi) + i\sin(40\pi))[/tex]

[tex]z^{60} = 2^{60}[/tex]

Is this right? Maple doesn't seem to agree.

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# Homework Help: Solve Z^60

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