Question

Which expression is equivalent to...

Answer 1

Answer:

$x^{\frac{2}{7} } y^{-\frac{3}{5} }$  i.e answer A.

Step-by-step explanation:

This question involves knowing the following power/exponent rule:

$\sqrt[n]{x^m} = x^\frac{m}{n} \\\\so \sqrt[7]{x^2} = x^\frac{2}{7} \\\\and \\\\ \sqrt[5]{y^3} = y^\frac{3}{5}$

Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.

so the y-term, when moved to the top of the fraction, becomes:

$y^{-\frac{3}{5} }$

So the answer is: $x^{\frac{2}{7} } y^{-\frac{3}{5} }$