Use DeMoivre's Theorem to find the indicated power of the given complex number, (−√3−i 1/3)^3. Express your final answers in rectangular form, z=x+iy. The exercise should be worked out without the aid of a calculator.

Use DeMoivre's Theorem to find the indicated power of the given complex number, (−√3/3+i 1/3)^6. Express your final answers in rectangular form, z=x+iy.The exercise should be worked out without the aid of a calculator.

Use DeMoivre's Theorem to find the indicated power of the given complex number, (−1/2−i √3/2)^3. Express your final answers in rectangular form, z=x+iy. The exercise should be worked out without the aid of a calculator.

Use DeMoivre's Theorem to find the indicated power of the given complex number, (−3−i 3)^4. Express your final answers in rectangular form, z=x+iy. The exercise should be worked out without the aid of a calculator.