The given expression is
[tex]x^{9/7}[/tex]
We can write it in radical form, and the denominator of the exponent became the power of the radical. That is
[tex]x^{9/7} = \sqrt[7]{x^9}[/tex]
And
[tex]\sqrt[7]{x^9} = \sqrt[7]{x^7*x^2}[/tex]
We can also write it as
[tex]\sqrt[7]{x^7}*\sqrt[7]{x^2} = x \sqrt[7]{x^2}[/tex]
And that's the simplified form of the given exponential form .
