Question

Question #d635c

Answer 1

`i^277=i`

Explanation:

Remember these rules:

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

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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!