i^51 + -8 + sqr(-16)/4
-
We can start off by saying that i^51 is -i. This is because:
i^1=i
i^2=-1
i^3=-i
i^4=1
i^5=i
i^6=-1
i^7=-i
i^8=1 and so on
So any index of the form 4n=1, therefore i^52 = 1 so i^51 = -i
We can then say that sqr(-16)/4 is sqr -4 = sqr 4 * sqr -1 = 2i
So we have -i-8+2i or -8+i
i^1=i
i^2=-1
i^3=-i
i^4=1
i^5=i
i^6=-1
i^7=-i
i^8=1 and so on
So any index of the form 4n=1, therefore i^52 = 1 so i^51 = -i
We can then say that sqr(-16)/4 is sqr -4 = sqr 4 * sqr -1 = 2i
So we have -i-8+2i or -8+i