2 ^ {5} \left ({1 + i\sqrt {3}} \right ) ^ {5} = 2 ^ {5} \left ({1 + i\sqrt {3}} \right ) ^ {2} \left ({1 + i\sqrt {3}} \right ) ^ {2} \left ({1 + i\sqrt {3}} \right ) = 2 ^ {5} \left ( \left ({1 + i\sqrt {3}} \right ) ^ {2} \right ) ^ {2} \left ({1 + i\sqrt {3}} \right ) = \dots = 512 - i512 \sqrt {3}