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iogann1982 [59]
3 years ago
9

If "i" is raised to an odd power, then it cannot simplify to be a)-1 b)-i c)i

Mathematics
2 answers:
3241004551 [841]3 years ago
6 0
i ^1 = i
i ^ 2 = - 1
i ^ 3 = - i
i ^4 = 1
etc.
................
"i" raised to an odd power cannot simplify to be : A ) - 1
shutvik [7]3 years ago
6 0

Answer:

Hence, option A is correct.

Step-by-step explanation:

'i' is a complex number with the property that:

i^2=-1\\\\i^3=-i\\\\i^4=1\\\\i^5=i

and the terms will continue so on.

if i is raised to an odd power then we will never get '-1' term.

Because every even power of i will be either '1' or '-1' and so the next power of the even power will be odd and hence '1' or '-1' will get multiplied by i and hence lead to the term either 'i' or '-i'.

Hence If "i" is raised to an odd power, then it cannot simplify to be '-1'.

Hence, option A is correct.



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