In Exercises 25–29, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. _ (1−i√3)²

In Exercises 25–29, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. (−2 − 2i)⁵

In Exercises 30–31, find all the complex roots. Write roots in polar form with θ in degrees. The complex cube roots of 125(cos 165° + i sin 165°)

In Exercises 32–35, find all the complex roots. Write roots in rectangular form. The complex fourth roots of 16 (cos 2π/3 + i sin 2π/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 $z^5$.