Which is equivalent to cube root of 8 raised to the 1 fourth x power ?

The cube root of 8 is 8^(1/3). Raising it to the power x/4 gives (8^(1/3))^(x/4) = 8^(x/12). This is the same as the 12th root of 8^x, so the equivalent expression is choice A.

AI-written and checked against the verified answer.