Question

If $\omega$ is a complex cube root of unity, evaluate $\left(\frac{\sqrt{3}-i}{-\sqrt{2}+\sqrt{2}i}\right)^{20}$.}

• A. $\omega$
• B. $\omega^2$
• C. $-\omega$
• D. $\omega-\omega^2$

Hint:

Convert complex numbers into polar form for powers.

Answer 1

The Correct Option is B