what is (1/2)^1000 in mode 9?

I tried dividing 2 by 9, then 4 by 9, then 8 by 9 etc.... and get the remainders in each one....

(although these are decimals but i assume it is ok?) and after 2^-7 it repeats, so it means every 6 exponent is one group, so i divided 1000 by 6 and it gives remainder of 4, and then read what 2^-4 was, which was 7 but the answer says it should be 4... what am i missing?