Answer: i ^ 59 = -i
Step-by-step explanation:
If you recall when simplifying imaginary numbers
i^1 = i* 1 = i
i^2 = i*i = -1
i^3 = i*i*i = -i
i^4 = i*i*i*i = 1
i^5 = i^4 * i =i
i^6 = i^4 * i^2 = -1
etc... the 4 values keep repeating
so take the exponent and divide by 4, the remainder is how many i values you have left to get your simplified answer of i, -1,-i, or 1
Remainder 1 i
Remainder 2 -1
Remainder 3 -i
Remainder 0 1
