Question

Simplify. Express the quotient as a radical expression.

ninth root of x to the seventh power over ninth root of x to the fifth power

Answer 1

\[\large \frac{\sqrt[9]{x^{7}}}{\sqrt[9]{x^{5}}} = x^{7/9-5/9} = x^{2/9} = \sqrt[9]{x^{2}}\]