WHAT IS THE TENS DIGIT IN 2003 TO THE POWER OF 2003

If the units digit of a number N is 3, then the units digit of N^2 will be 9, for N^3 it will be 7, for N^4 it will be 1 and then it will repeat (N^5 will be 3 again, N^6 will be 9 again and so on).  

For the last two digits, it will repeat after 20 iterations (so if N^1 ends with 03, then N^21 also ends with 03 and if N^1 ends with 13, then N^21 also ends with 13).

Hence 2003²⁰⁰³  can be written as (2003²⁰)¹⁰⁰ x 2003^3.

(….03)(….027)

=>ends with …..081

Hence the tens digit is 8.