Question

Question please answer!!!! !!!

Answer 1

D

Explanation:

So, recall the four basic i exponents:

`i^1=i\\i^2=-1\\i^3=-i\\i^4=i`

The strategy here is to write the expression in terms of i to the fourth times another i.

For instance, 39 is the same as 36 plus 3. In other words:

`i^(39)=i^(36)\cdot i^3`

Now, i^36 is the same as (i^4)^9. So:

`i^(39)=(i^(4))^9\cdot i^3`

And as we already know, i to the fourth is 1. So:

`i^(39)=(1)^9\cdot i^3`

Simplify:

`i^(39)=i^3`

Again, i to the third is -i. So:

`i^(39)=-i`

Our answer is D.

And we're done!