Answer:
i
Step-by-step explanation:
i^8+i^9+i^10
Factor out and i^8
i^8( 1+i+i^2)
Using the rule of 4
8/4 =2 with remainder 0 remainder 0 =1
remainder 1 = i
remainder 2 = -1
remainder 3 = -i
i^8 = 1
1 ( 1+i +i^2)
We know that i^2 = -1
(1+i+-1)