There's no way to begin until we know the value of ' i ' .
If ' i ' doesn't represent √-1 , then we can stop here
and discard the question as unanswerable.
If ' i ' is the famous √-1 , then here's how i⁵⁰ can be simplified:
Notice the following:
-- The 1st power of i is √-1 .
-- The 2nd power of i is (√-1)² = -1
-- The 3rd power of i is -√-1
-- The 4th power of i is (-√-1)·(√-1) = -(-1) = 1 .
-- Every 4 powers of ' i ' brings you back to ' 1 '.
So from the exponent of 50, you can knock out
the largest possible multiple of 4 , and evaluate
what's left.
50 = 48 + 2
i⁵⁰ = i² = -1 .
