Question

Simplify. Express the quotient as a radical expression.

sqrt[9]{x^7} / sqrt[9]{x^5}

Answer 1

Is it??
\[\huge \frac{\sqrt{9}x^7}{\sqrt{9}x^5}\]

Answer 2

OR??

\[\huge \frac{\sqrt{9x^7}}{\sqrt{9x^5}}\]

Answer 3

\[\sqrt[9]{x^7} =x^{7/9}\]
\[\sqrt[9]{x^5} =x^{5/9}\]
Now \[\sqrt[9]{x^7} / \sqrt[9]{x^5} = x^{7/9}/x^{5/9}\]
\[= x^{7/9 - 5/9}\]
\[= x^{2/9}\]
or
\[\sqrt[9]{x^{2}}\]