2021 JMPSC Sprint Problems/Problem 15
Problem
Find the last two digits of 
Solution
Note that 
and 
.
. 
Solution 2
By multiplying out several powers of 
, we can observe that the last 
digits are always 
(with the exception of 
where 
). Also, 
ends with several zeros, so the answer is 
.
~Mathdreams
