Problem:
Simplify the following expression $\left(\frac{29}{4} \left(\cos \left(\frac{62}{45}\right)+i \sin \left(\frac{62}{45}\right)\right)\right)^7$
Answer:
$\frac{17249876309 \left(\cos \left(\frac{434}{45}\right)+i \sin \left(\frac{434}{45}\right)\right)}{16384}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/44903.txt'}