Problem:
Simplify the following expression $\left(\frac{1}{2} \left(-\cos \left(\frac{71}{90}\right)-i \sin \left(\frac{71}{90}\right)\right)\right)^7$
Answer:
$\frac{1}{128} \left(-\cos \left(\frac{497}{90}\right)-i \sin \left(\frac{497}{90}\right)\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/28100.txt'}