Question

Rewrite the following expression .x\frac{9}{7}" alt="x\frac{9}{7}" align="absmiddle" class="latex-formula">

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:

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