Problem:
Simplify the following expression $\left(-3 \left(\cos \left(\frac{\pi }{18}\right)-i \sin \left(\frac{\pi }{18}\right)\right)\right)^12$
Answer:
$531441 \left(-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/35216.txt'}