Problem:
Simplify the following expression $\left(\frac{18}{5} \left(\cos \left(\frac{19}{90}\right)+i \sin \left(\frac{19}{90}\right)\right)\right)^12$
Answer:
$\frac{1156831381426176 \left(\cos \left(\frac{38}{15}\right)+i \sin \left(\frac{38}{15}\right)\right)}{244140625}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/39508.txt'}