A-Best: Hi,
For i^to any power higher than 4, divide the exponent by 4 and look at the remainder
If remainder is 1, then it simplifies to i.
If remainder is 2, then it is i² and simplifies to -1.
If remainder is 3, then it is i³ and simplifies to -i.
If remainder is 0, then it is i^4 and simplifies to 1.
In this case 26/4 = 6, remainder 2. The remainder of 2 means it simplifies to -1. <==ANSWER
I hope that helps!! :-)