SOLUTION: z = 2 ( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } ) What will Z^4 be equal to

Question 1181459: z = 2 ( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } )
What will Z^4 be equal to
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The modulus ("magnitude") is 2; the angle is pi/3.

DeMoivre's Theorem says to raise the complex number to the n-th power you raise the modulus to the n-th power and multiply the angle by n.

You can do the simple calculations to find the answer to your problem.

Here are a couple of similar examples:

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