For this problem, just apply the laws of exponents. When dividing variable with the same base, just subtract their exponents. Hence, x^-6 divided by x^2 would be x^-8. Then, multiply the exponent with 3, becoming x^-24. Or, in reciprocal form, 1/x^24.
Where 1/3 of the 1 section had been painted, have each section have 3 parts. So each complete section will be 3/3. Where there is 4 section with 3 parts each, we have 12 parts. Thus, you painted 1/12 of the fence.