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Complex Numbers Operations and DeMoivre's Theorem

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!
6. (-1-i)^4

7. (-4sqrt3 + 4i)^1/3

8. (2(cos pie/3 + i sine pie/3))^5

9. z^4 +8sqrt3-8i=0; solve for z

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Solution Summary

Complex Number Operations and DeMoivre's Theorem are investigated. The solution is detailed and well presented.