Question

Sa se determine ultimele 1997 cifre ale nr 1990^1996.

Answer 1

1990^2=1990*1990=3960100 [ultimile 3  cifre sunt 1 si 2 de 0]
1990^3=3960100*1990= (****)9000 [utimile 4 cifre sunt 9 si 3 de 0]
1900^4= (****)9000 * 1990 = (*********)810000 [ultimile 5 cifre sunt 1 si 4 de 0]
1900^5 = (*********)810000*1990  = (*^*^*)900000 ultimele 6 cifre 9 si 5 de 0]
:
:
1990^1996 [ultimile 1997 cifre sunt  1 urmat de 1996 cifre de 0]