Powers of (1 + i root 3) or (root 3 + i) by polar form and De Moivre

1. A.
   $2^{2n+1}\cos\left(\dfrac{2n\pi}{3}\right)$
2. B.
   $2^{2n}\cos\left(\dfrac{n\pi}{3}\right)$
3. C.
   $2^{2n+1}\cos\left(\dfrac{n\pi}{3}\right)$
4. D.
   $2^n\cos\left(\dfrac{2n\pi}{3}\right)$

Tap an option to check your answer.

1. A.
   $2$ and $2\pi/3$
2. B.
   $256$ and $7\pi/3$
3. C.
   $256$ and $2\pi/3$
4. D.
   $64$ and $4\pi/3$

Tap an option to check your answer.

1. A.
   $-i$
2. B.
   $i$
3. C.
   $-1$
4. D.
   $1$

Tap an option to check your answer.