Question

I^59 simplified as much as possible

Answer 1

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