Question

Which simplifications of the powers of i are correct? There may be more than one correct answer. Select all correct answers. i8=1 i14=1 i28=i i5=i i27=−i

Answer 1

i^8, i^5 and i^27 are True.

Explanation:

i^2 = -1 , i^3 = -i, i^4 = 1, i^5 = i , i^6 = -1, i^7 = -i, i^8 = 1 and so on

i^8 = i^4 * i^4 = 1*1 = 1 TRUE

i^14 = i^7 * i^7 = -i*-i = i^2 = -1 NOT TRUE

i^28 = i^14 * i^14 == -1 * -1 = 1 NOT TRUE

i^5 = i TRUE

I^27 = i^8 * i^8 * i^8 * i^3 = 1 * i^3 = -i TRUE