2021 JMPSC Sprint Problems/Problem 15
Revision as of 12:22, 11 July 2021 by Mathdreams (talk | contribs)
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