Question

Which expression is equivalent to!!!!!

Answer 1

A

Explanation:

Use the property

`\sqrt[n]{a^m}=a^{(m)/(n)}`

The numerator can be simplified as

`\sqrt[7]{x^2}=x^{(2)/(7)}`

The denominator can be simplified as

`\sqrt[5]{y^3}=y^{(3)/(5)}`

Also remindr property

`(1)/(a^n)=a^(-n)`

Thus, the expression is equivalent to

`\frac{\sqrt[7]{x^2} }{\sqrt[5]{y^3} }=\frac{x^{(2)/(7)}}{y^{(3)/(5)}}=\left(x^{(2)/(7)}\right)\cdot \left(y^{-(3)/(5)}\right)`