Question 361631: on page 280 of the algebra 2 book problem 5 reads i^40 i cant figure out how to solve it... Found 3 solutions by shorty4aboo, jrfrunner, Alan3354:Answer by shorty4aboo(8) (Show Source):
You can put this solution on YOUR website! is a problem in its self the reason why i say this is because my teacher taught us a method to use for degree of i...here it is:
ex: Evaluate 533 divided by 4 = 133 R(1)
Now this tells you That the Remainder is 1, Use that with this chart:
As you can see ; Odd degree numbers =i and even degree numbers= -1.
NOW HERE IS YOUR PROBLEM WORKED OUT: See No remainder so you would have degree 0, then plug it into chart and the answer is 0.
You can put this solution on YOUR website! cycles in factors of 4
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and as you can see values recycle based on xmod(4) (ie the remainder of dividing by 4)
So since you want to know and since 40mod(4)=0 then
