What is i^1234 equivalent to?

1 Answer
Nov 24, 2015

i^1234=-1

Explanation:

To find out what i is equal to, divide the exponent by 4.

Case 1: If the remainder is 0, then it is equal to 1.

Case 2: If the remainder is 1, then it is equal to i or sqrt(-1).

Case 3: If the remainder is 2, then it is equal to -1.

Case 4: If the remainder is 3, then it is equal to -i or -sqrt(-1).

Solution

" "1234/4=308 " remainder: " 2

Therefore, we use case 3. color(blue)(i^1234=-1)