Question

Which expression is equivalent to i^256?

-1
i
1
-i

Answer 1

`\Huge \boxed{1}`

Explanation:

`i^(256)`

`(i^4)^(64)`

Apply identity :
`i^4 =1`

`1^(64)=1`

Answer 2

1

Explanation:

i²⁵⁶ is the equivalent of (i²)¹²⁸.

(i²)¹²⁸ = (-1)¹²⁸ = 1.