SOLUTION: what is the value of i^97-i

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Question 992348: what is the value of i^97-i
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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i%5E97 = i%5E96.i = %28i%5E4%29%5E24.i = 1%5E24.i = i.

Therefore, i%5E97 - i = 0.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the value of i^97 - i
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i^97 = i^(4*24 + 1) = (i^4)^24*i^1 = 1*i = i
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Therefore: i^97 - i = i - i = 0
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cheers,
Stan H.
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