Answer:
[tex]x^{1/3} yx^{1/2}[/tex]
Step-by-step explanation:
[tex]\sqrt[6]{x^{2}y^{3} }[/tex]
When you have a root function it can be written as a fraction of an exponent
for example [tex]\sqrt{x}[/tex] can also be written as [tex]x^{1/2}[/tex], its the same thing
so with your equation it wouldn't be 1/2 but 1/6, and you just keep the exponents on the top of the fraction
[tex]x^{2/6} y^{3/6}[/tex]
then just simplify
[tex]x^{1/3} y^{1/2}[/tex]
