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

Question

Macie Carter

Mathematics

30 November, 00:33

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

+5

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Mcgrath · Answer 1

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

Step-by-step 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