Use DeMoivre's Theorem to find the indicated power of the given complex number, (ββ3βi 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, (ββ3/3+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, (β1/2βi β3/2)^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, (β3βi 3)^4. Express your final answers in rectangular form, z=x+iy. The exercise should be worked out without the aid of a calculator.