SOLUTION: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. [3(cos60° + i sin60°)]^4

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Question 1187642: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.
[3(cos60° + i sin60°)]^4
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
[3(cos60° + i sin60°)]^4

DeMoivre's theorem says to raise the 3 to the 4th power, and MULTIPLY
the 60° by the exponent 4.

3%5E4%28cos%284%2A60%5Eo%29%5E%22%22%2Bi+sin%284%2A60%5Eo%29%29

81%28cos%28240%5Eo%29%5E%22%22%2Bi+sin%28240%5Eo%29%29  <-- maybe this is what you call "standard form"

81%28-1%2F2-i%2Aexpr%28sqrt%283%29%2F2%29%29

expr%2881%2F2%29%28-1-i%2Asqrt%283%29%29

expr%28-81%2F2%29%281%2Bi%2Asqrt%283%29%29  <-- or maybe this is what you call "standard form".

Edwin