Simplify each of the following powers of i. i^99

i= sqrt (-1)

Explanation:

If the power is

- even then the value could be -1 or 1

-odd then the value could be -i or i

99 is odd so now is

-i if (99+1)/2 is even or is

i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,

50 is even so

i^99 = -i

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