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Printjmc
number theory junior
Problem
What is the units digit when is multiplied out?
Solution
The units digit of any positive integer power of 5 is .
(Note: this claim may be proved by induction, since the units digit of is 5 whenever the units digit of is 5.)
(Note: this claim may be proved by induction, since the units digit of is 5 whenever the units digit of is 5.)
Final answer
5