For this case we must rewrite the following expression:
[tex]x ^ {\frac {9} {7}}[/tex]
By definition of properties of powers and radicals we have to:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Then, the expression can be rewritten as:
[tex]x ^ {\frac {9} {7}} = \sqrt [7] {x ^ 9}[/tex]
If we want to simplify:
[tex]\sqrt [7] {x ^ 9} = \sqrt [7] {x ^ 7 * x ^ 2} = x \sqrt [7] {x ^ 2}[/tex]
ANswer:
[tex]x ^ {\frac {9} {7}} = \sqrt [7] {x ^ 9} = x \sqrt [7] {x ^ 2}[/tex]
