(3(s^3)^4 )/(12s^8)

To simplify this expression, we need to first raise the quantity inside the parentheses to the 4th power.

(3(s^3)^4) = 3(s^(3*4)) = 3s^12

Now we can rewrite the expression as:

(3s^12) / (12s^8)

To divide these terms, we subtract the exponents:

3 / 12 = 1/4
s^(12-8) = s^4

Therefore, the simplified expression is:

(1/4)s^4