Simplify i 41
a) i
b)-1
c)-i
d) 1

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