How do you simplify $i^100$ ?

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Answer 1 · 2015-12-19T01:24:18

$i^100 = 1$

$i^100 = (i^2)^50 = (-1)^50 = ((-1)^2)^25 = 1^25 = 1$

Answer 2 · 2015-12-19T01:25:51

$1$

Even powers of $i$ are equal to $1$

Odd powers of $i$ are equal to plus or minus $i$
The signs alternate

How do you simplify i^100i^100?