Question

simplify i^25

Answer 1

I wanna do it Please

Answer 2

ok lol

Answer 3

\[i^25 = i^{6x4 +1} = i\]

Answer 4

correct

Answer 5

=i

Answer 6

The powers of i are cyclic mod 4, meaning there are 4 possibilities.
exp...value
1....i
2....-1
3....-i
4....+1
Then it repeats.
For the 25th power, divide 25 by 4 and get the remainder. That's 25 mod 4, the remainder is 1
i^1 = i