Problem:
Simplify the following expression $\left(-\frac{6}{5} \left(\cos \left(\frac{11}{90}\right)+i \sin \left(\frac{11}{90}\right)\right)\right)^7$
Answer:
$-\frac{279936 \left(\cos \left(\frac{77}{90}\right)+i \sin \left(\frac{77}{90}\right)\right)}{78125}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/46766.txt'}