SOLUTION: Find the power of the following complex number z=(sq root 2 - i) to the fourth power

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Question 226462: Find the power of the following complex number z=(sq root 2 - i) to the fourth power
Answer by Alan3354(21584) About Me  (Show Source):
You can put this solution on YOUR website!
z=(sq root 2 - i) to the fourth power
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z = sqrt(2) - i
z^4 = %28sqrt%282%29+-+i%29%5E4
z^2 = (2 - 1 - 2isqrt(2))
z^2 = 1 - 2isqrt(2)
z^4 = 1 - 8 - 4isqrt(2)
z^4 = -7 - 4isqrt(2)
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