A number theory problem by Rohit Rushil
Number Theory
Level
2
What are the last two digits of ?
63
23
33
43
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1 solution
3^1997 = 3x3^1996 =3x(10-1)^998 =3x( 998C0 . 10^998 - ........... +998C2. 10^2 - 998C1.10 + 998C0. 1) = 3x(....... 00000-9980+1) =3x( .....21)= ........63