Question #d635c

1 Answer
Dec 13, 2017

i^277=i

Explanation:

Remember these rules:


1. i =i
2. i^2=-1
3. i^3=-i
4. i^4 =1


STEP ONE A: Divide 277 by 4

277/4=69 1/4

STEP TWO A: The 1/4 symbolizes how many times you need to move down the rules (shown above). In this case, you need to move down only one, since the numerator is 1.

STEP THREE A: Since you only need to move down one, i^277=i

----Another way you can figure this out ----

STEP ONE B: Divide 277 by 4

277/4=69 1/4

STEP TWO B: Then, multiply 4 with 69.

4 * 69=276

STEP THREE B: Subtract 276 from 277. The answer is 1. Therefore, you need to move down only one on the rules (shown above)

STEP FOUR B: Since you only need to move down one, i^277=i

Hope that helped!