In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [4(cos 15° + i sin 15°)]³

In Exercises 32–35, find all the complex roots. Write roots in rectangular form. The complex cube roots of −1

In Exercises 32–35, find all the complex roots. Write roots in rectangular form. The complex fifth roots of −1 − i

Perform the indicated operation. Leave answers in polar form. [2(cos 10° + i sin 10°)]⁵

Given $z=3CiS\left(\frac{4\pi }{5}\right)$, calculate $z^5$.

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [2(cos 10° + i sin 10°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [2(cos 80° + i sin 80°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [2(cos 40° + i sin 40°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [1/2 (cos π/12 + i sin π/12)]⁶