Answer:
[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]
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
[tex]\sqrt[7]{x}^9[/tex]
The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:
[tex](x^9)^{1/7}[/tex]
and the second would be:
[tex](x^{1/7})^9[/tex]
In both cases, the exponents would be multiplied, giving the same result.
