# What is #i^1234# equivalent to?

##### 1 Answer

Nov 24, 2015

#### 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**

**Therefore, we use case 3.**