We have a complex number here, so we start with this.
[tex]i^2+i^4[/tex]
Remove the exponent, like this: [tex]\:i^2=-1[/tex]
Apply it.
[tex]\:i^2=-1[/tex]
We have to convert the [tex]i^4 = 1[/tex]
So...
[tex]=\left(i^2\right)^2[/tex]
[tex]=1^2[/tex]
[tex]=1[/tex]
We are left with.
[tex]=-1+1[/tex]
Simplify.
[tex]=0[/tex]
Done!
Have a nice day! :)
