Question

Rewrite the following expression .



`x(9)/(7)`

Answer 1

For this case we must rewrite the following expression:

`x ^ {\frac {9} {7}}`

By definition of properties of powers and radicals we have to:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

Then, the expression can be rewritten as:

`x ^ {\frac {9} {7}} = \sqrt [7] {x ^ 9}`

If we want to simplify:

`\sqrt [7] {x ^ 9} = \sqrt [7] {x ^ 7 * x ^ 2} = x \sqrt [7] {x ^ 2}`

ANswer:

`x ^ {\frac {9} {7}} = \sqrt [7] {x ^ 9} = x \sqrt [7] {x ^ 2}`