SOLUTION: i need some basic rules for the following type of problem set: (i^0) * (-i^0) = ??? does i^o * i^0 = 1 ??? -i * i = ??? does -i^0 = -1 ??? i^1 * -i^1 = ??? i^2 *

Question 29395: i need some basic rules for the following type of problem set:
(i^0) * (-i^0) = ???
does i^o * i^0 = 1 ???
-i * i = ???
does -i^0 = -1 ???
i^1 * -i^1 = ???
i^2 * -i^2 = ???
-i^1 * i^2 = ???
i^1 * -i^2 = ???
then the set:
i^-1 * i^-2 = ??? ; i^1 * 1^-2 = ??? ; etc.
any resources on this type of factoring would be extremely useful, since i haven't seen this expressed anywhere in the literature as of yet.

this type of factoring might be simple to roger penrose, but it's driving me nuts.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Powers of i follow a cyclic pattern that you should memorize.
i^0=1
i^1=i
i^2=-1
i^3=-i
i^4=1
Then it starts over again because the last result was "1".
Following this pattern you should be able to work your problems.
Cheers,
Stan H.
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