Question

Question #1385b

Answer 1

The answer is 1.

Explanation:

Since we know `i = sqrt(-1)`, we can say `i^2 = -1`. By this logic, we can separate `i^56` into `(i^2)^28`, which simplifies into `(-1)^28`, or simply `1`.

Answer 2

`1`

Explanation:

remember that

`i=sqrt(-1), i^2=-1,i^3=-i,i^4=1`

so we look for multiples of `4` in order to simplify the problem simplify the problem

`i^(56)=i^(4xx14)`

`=(i^4)^56`

`=1^56=1`