Respuesta :
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
i ^ 2 = - 1
i ^ 3 = - i
i ^4 = 1
etc.
................
"i" raised to an odd power cannot simplify to be : A ) - 1
Answer:
Hence, option A is correct.
Step-by-step explanation:
'i' is a complex number with the property that:
[tex]i^2=-1\\\\i^3=-i\\\\i^4=1\\\\i^5=i[/tex]
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.