Tamara says that raising the number i to any integer power results in either - 1 or 1 as the result, since i^2 = - 1. Do you agreed or disagree with Tamera? Explain

Question

Mathematics

Malik

21 February, 13:01

Tamara says that raising the number i to any integer power results in either - 1 or 1 as the result, since i^2 = - 1. Do you agreed or disagree with Tamera? Explain

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Giuliana Page · Answer 1

I agree only if you have even powers - - even negative ones.

1/i^2 = 1/-1 = - 1

i^0 also gives 1 So far no problem.

It is when you consider the odd numbers that you don't get 1 or - 1

You get either - i or i

i^ (4n + 1) = i

i^ (4n - 1) = - i