Question

Which expression is equivalent to!!!!!

Answer 1

Answer:

A

Step-by-step explanation:

Use the property

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

The numerator can be simplified as

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

The denominator can be simplified as

$\sqrt[5]{y^3}=y^{\frac{3}{5}}$

Also remindr property

$\dfrac{1}{a^n}=a^{-n}$

Thus, the expression is equivalent to

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