Problem:
Simplify the following expression $\left(\frac{9}{2} \left(-\cos \left(\frac{11 \pi }{45}\right)+i \sin \left(\frac{11 \pi }{45}\right)\right)\right)^4$
Answer:
$\frac{6561}{16} \left(-\cos \left(\frac{\pi }{45}\right)-i \sin \left(\frac{\pi }{45}\right)\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/7413.txt'}