The simplification of the powers of i is correct for options A , B, C, D, and H.
Given that,
In the question simplified values of to the power of i is given in the option it is to be determined which option shows the correct simplified value for the corresponding powers of i.
what is IOTA?
IOTA denoted as 'i' is a complex number operator, value of i = √-1,
we have, i = √-1 , i² = -1 , i³ = -i and [tex]i^4 = 1[/tex]
Simplification,
1)
[tex]i^5 = i^4.\\=(1 ) * i\\= i[/tex]
2) [tex]i^6[/tex]
[tex]=i^6\\=i^4*i^2\\= (1) * (-1)\\=-1[/tex]
3) [tex]i^7[/tex]
[tex]=i^7\\=i^4.i^3\\= (1)*(-i)\\ =-i[/tex]
4) [tex]i^8[/tex]
[tex]=i^8\\=i^4 * i^4\\= 1 * 1\\= 1[/tex]
Thus, from the above calculation for the powers of i the options matches are options A, B, C, D, and H
Learn more about IOTA here:
https://brainly.com/question/20533401
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