Problem:
Simplify the following expression $\left(-\sqrt{3} \left(\cos \left(\frac{13}{30}\right)+i \sin \left(\frac{13}{30}\right)\right)\right)^5$
Answer:
$-9 \sqrt{3} \left(\cos \left(\frac{13}{6}\right)+i \sin \left(\frac{13}{6}\right)\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/49458.txt'}