What is i^65 + i^54?

i - 1

I'm comfortable with up to i^4, so:

= i^65 + i^54
= ((i)^5)^13 + ((i)^2)^(27)
= ((i)^4 * i)^13 + (-1)^27
= (i)^13 - 1
= (((i)^4)^3 * i) - 1
= ((1)^3 * i) - 1
= i - 1 (Answer)

Have a good day.

I² 109

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