Answer: The right option is A) i^41 = i
Step-by-step explanation:
We want to simplify the expresion i^41.
now we will use the next relations:
a^(x*y) = (a^x)^y
(a^x)(a^y) = a^(a+y)
And we know tath i^2 = -1
i^3 = i*i^2 = -i
i^4 = (i^2)*(i^2) = -1*-1 = 1
now, i^41 = ((i^4)^10)*i = (1^10)*i = i
