SOLUTION: Find the power of the following complex number: z=(sqrt(2)-i)^(4) This one has been killing me.... thanks

Question 374909: Find the power of the following complex number: z=(sqrt(2)-i)^(4)
This one has been killing me.... thanks
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let
Then,

In this case,

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

First remember the properties of exponents:

So, rewrite your problem:

Next, remember the pattern for squaring a binomial:

And don't forget that

So

And so far we have:

Now repeat the process:

John

My calculator said it, I believe it, that settles it

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