SOLUTION: Please help me solve this problem using De Moivre's Theorem to get the exact answer:
(3+4i)^6
Algebra.Com
Question 982741: Please help me solve this problem using De Moivre's Theorem to get the exact answer:
(3+4i)^6
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
using De Moivre's Theorem to get the exact answer:
(3+4i)^6
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r = sqrt(3^2+4^2) = 5
theta = arctan(4/3) = 53.13
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(3+4i)^6 = 5*6(cos(6*53.13) + isin(6*53.13))
----
= 15625(0.7522 - 0.6590i)
-----
= 11753.13 - 10296.88i
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Cheers,
Stan H.
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