Question

What is equivalent to the value of the complex number i^2+i^4? A.i^6 B.0 C.-1 D.1

Answer 1

We have a complex number here, so we start with this.

`i^2+i^4`
Remove the exponent, like this:
`\:i^2=-1`
Apply it.

`\:i^2=-1`
We have to convert the
`i^4 = 1`
So...

`=\left(i^2\right)^2`

`=1^2`

`=1`

We are left with.

`=-1+1`
Simplify.

`=0`
Done!

Have a nice day! :)

Answer 2

hello :
such : i² = -1
i^2+i^4= i²+(i²)² = -1+(-1)² = -1+1 = 0...(answer : B) 0 )