Respuesta :
a real number
ok so
any even power is i^(2n) where n is a whole number
if n=1
i^2=(√-1)^2=-1
if i^3, then it is equal to (i^2)(i)=(-1)(i)=-i
if i^4, then it is equal to (i^2)(i^2)=(-1)(-1)=1
therefor
i^1=i
i^2=-1
i^3=-i
i^4=1
then it repeats
look at the odd powers
i and -i
they are complex
therefor
if i is raised to an odd power, it cannot be simplified to be a real number
ok so
any even power is i^(2n) where n is a whole number
if n=1
i^2=(√-1)^2=-1
if i^3, then it is equal to (i^2)(i)=(-1)(i)=-i
if i^4, then it is equal to (i^2)(i^2)=(-1)(-1)=1
therefor
i^1=i
i^2=-1
i^3=-i
i^4=1
then it repeats
look at the odd powers
i and -i
they are complex
therefor
if i is raised to an odd power, it cannot be simplified to be a real number
Answer:
-1
Step-by-step explanation:
If i is raised to an odd power, then it can not simplify to be
-1
-i
i
Odyssey