(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