Question

Which answer is equal to i^58?
A) -i
B) -1
C) i
D) 1

Answer 1

Since it is positive power, the answer is -1 so it is B.

Answer 2

B) - 1.

Explanation:

Given :
`i^(58)`.

To find : Solve it.

Solution : We have given
`i^(58)`.

We know that even power of imaginary number is -1 .

`i^(2)` = -1.

So,
`(i^(2))^(2)= 1`.

`(i^(4))= 1`.

We can write
`i^(58)` as
`(i^(4))^(14)`.

Then
`i^(58)`=
`(i^(4))^(14)` *
`i^(2)`.

Plug
`(i^(4))= 1` and
`i^(2)` = -1.

`i^(58)`=
`(1^(14))` *
`i^(2)`

`i^(58)` = 1 *-1.

`i^(58)` = -1.

Therefore, B) - 1.