Your answer would be
.
Approaching this problem would be easier by converting the cube root of 8 to 8 to the power of 1/3. Remember that when you take anything to the nth root, it is the same as taking something to the power of 1 / n.
Therefore, the equation becomes
.
Now, to keep simplifying, recall that when you do
, it can become
.
This can be applied in this situation. You are taking 8 to the power of 1/3 to the power of 1/4x. Now, you can multiply the two "to the power of's" to get
. Applying the same logic, it becomes
.
Now, all you have to do is use the same logic as used in the very beginning. Raising something to the power of 1/12 can become taking it to the 12th root. So therefore, the equation would be ![\sqrt[12]{8}^{x}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B8%7D%5E%7Bx%7D)
Good luck!