Apply DeMoivre's Theorem to solve the following:
*any angles that are multiples of pi/6, pi/4, pi/3, pi/2 or pi must be converted back into regular complex form!
1. (-1-i)^4
2. (-4sqrt3 + 4i)^1/3
3. (2(cos pie/3 + i sine pie/3))^5
4. z^4 +8sqrt3-8i=0; solve for z