Problem:
Simplify the following expression $\left(-2 \sqrt{2} \left(\frac{1}{4} \left(1-\sqrt{5}\right)-i \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}}\right)\right)^4$
Answer:
$64 \left(\frac{1}{4} \left(\sqrt{5}-1\right)-i \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}}\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/36375.txt'}