So we have been given an assignment with four problems in each of four sections. I missed a day in class and was hoping you guys could help me out. There are four problems in each section.
Use De Moivre's Theorem to find the powers of complex numbers below, and express the answer in the form $x + iy$
$$(3 + 3i)^5$$
Find the two square roots of
$$1 + i \sqrt3$$
Find the three cube roots of 64
Find all the solutions to the equations
$$ x^2 + x + 1 = 0$$
Thank you.