If x is a positive integer, what is one possible value of the units digit of 103^2x after it has been multiplied out?

Question

jamesj · Answer

$$103^2 x \ or \ 103^{2x}$$

anonymous · Answer

isn't one possible answer 9? since the units digitis 3 and rewritten is 3^2 which equals 9....but there is more to it

anonymous · Answer

a little experimentation will show you the pattern of the units digit. then you can figure out a reason why it must be true

anonymous · Answer

2x will always be even
so even power of 103 means 3 will be multiplied even no of times
so possible values of unit digit can be 9 or 1

anonymous · Answer

i am assuming the question is for 
$$103^{2n}$$ in other words an even exponent

jamesj · Answer

Hang on, I'm still waiting for the clarification.  Which one of the two forms above is correct.

anonymous · Answer

how did u get 9 and 1 Harkirat?

anonymous · Answer

See
if we take x = 1, then we get 103^2 = 10609
if we take x = 2, then we get 103^4 = 112550881

The unit digit will always result from the last digit 3^2x and will alternately be 9 and 1