Problem:
Simplify the following expression $\left(-8 \left(\cos \left(\frac{\pi }{9}\right)+i \sin \left(\frac{\pi }{9}\right)\right)\right)^3$
Answer:
$-512 \left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/44567.txt'}