From your clue, notice that:
So assume the statement is true for , that is last 8 digits are i.e. . So it remains to show that it is true for
Multiply both sides by :
Can you finish?
demostrate that the exponentiation of the number
12890625 is another number which its lasts numbers are 12890625.
exemple: 12890625^2 = 166168212890625
Why can i demostrate it by induction? i don't know what i have to write on the right side of the equation (12890625)^n = ?
to start the indutcion
PD: i'm sorry if my english is not too good, it isn't my usual lenguage.