Problem:
Simplify the following expression $\left(4 \left(-\sin \left(\frac{11 \pi }{90}\right)-i \cos \left(\frac{11 \pi }{90}\right)\right)\right)^12$
Answer:
$16777216 \left(-\sin \left(\frac{\pi }{30}\right)+i \cos \left(\frac{\pi }{30}\right)\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/31028.txt'}