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

In Exercises 32–35, find all the complex roots. Write roots in rectangular form. The complex cube roots of 8i

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

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 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