Question

Can you guys help me ?

Answer 1

Answer:

C the 12th root of (8^x)

Step-by-step explanation:

This becomes 8 ^ x/4  ^ 1/3

We know that a^b^c = a^ (c*c)

8 ^(x/12)

Answer 2

Your answer would be $\sqrt[12]{8}^{2}$.

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 $(x^{1/3} )^{\frac{1}{4}x }$.

Now, to keep simplifying, recall that when you do $n^{x^y}$, it can become $n^{x*y}$.

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 $8^{\frac{1}{12}x }$. Applying the same logic, it becomes $8^{\frac{1}{12} *x} = 8^{\frac{1}{12} ^x}$.

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 $\sqrt[12]{8}^{x}$

Good luck!