Answer:
[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]
Step-by-step explanation:
Given
[tex]xy^\frac{2}{9}[/tex]
Required
The equivalent expression (see attachment)
We have:
[tex]xy^\frac{2}{9}[/tex]
Split
[tex]xy^\frac{2}{9} = x*y^\frac{2}{9}[/tex]
Apply the following laws of indices
[tex]y^\frac{m}{n} = \sqrt[n]{y^m}[/tex]
So, we have:
[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]
Hence (d) is correct
