Question

simplify i^94

Answer 1

i^94=i^92*i^2=1*(-1)=-1

Answer 2

i=sqr(-1)
so i^4=(-1)^2=1

Answer 3

so i^94=(i^23)(i^23)(i^23)(i^23)(i^2)=-1

Answer 4

Alternatively,

94/4 = 23 remainder 2

That remainder of 2 means i^94 = i^2 = -1