Question

Which expression is equivalent to xy^2/9?

Answer 1

Answer:

$xy^\frac{2}{9} = x*\sqrt[9]{y^2}$

Step-by-step explanation:

Given

$xy^\frac{2}{9}$

Required

The equivalent expression (see attachment)

We have:

$xy^\frac{2}{9}$

Split

$xy^\frac{2}{9} = x*y^\frac{2}{9}$

Apply the following laws of indices

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

So, we have:

$xy^\frac{2}{9} = x*\sqrt[9]{y^2}$

Hence (d) is correct