Question

The value of 1+i¹⁰+i¹⁰⁰+i¹⁰⁰⁰ is ___​

Answer 1

Answer:

since i = √-1

i^2 = -1

i^3 = -i

i^4 = 1

Therefore 1+i¹⁰+i¹⁰⁰+i¹⁰⁰⁰ = 1-1+1-1 = 0