Answer:
![x^{\frac{9}{7}} = \sqrt[7]{x^9}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B9%7D%7B7%7D%7D%20%3D%20%5Csqrt%5B7%5D%7Bx%5E9%7D)
Step-by-step explanation:
You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.
Note also that the order does not matter. You could also express it as
![\sqrt[7]{x}^9](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%7D%5E9)
The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:

and the second would be:

In both cases, the exponents would be multiplied, giving the same result.