Question

Simplify the question With Steps i^50 (It is iota with 50. as an exponent)

Answer 1

 steps. convert it to a positive exponent
then evaluate the exponent
then flip the fraction

Answer 2

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 .