Problem:
Simplify the following expression $\left(-\frac{13}{4} \left(\cos \left(\frac{1}{10}\right)+i \sin \left(\frac{1}{10}\right)\right)\right)^7$
Answer:
$-\frac{62748517 \left(\cos \left(\frac{7}{10}\right)+i \sin \left(\frac{7}{10}\right)\right)}{16384}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/45980.txt'}