Difference between revisions of "2021 JMPSC Sprint Problems/Problem 15"
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+ | ==See also== | ||
+ | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]] | ||
+ | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | ||
+ | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
+ | {{JMPSC Notice}} |
Revision as of 17:15, 11 July 2021
Contents
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
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.