Respuesta :

To rewrite the expression with rational exponents we have to know that:

n√x = x ^1/n

Knowing that we can write the expression using rational exponents:

[tex]\frac{z^{\frac{8}{3}}\cdot y^{\frac{4}{5}}}{xy\cdot x^{\frac{1}{2}}}[/tex]

Simplify

[tex]\frac{z^{\frac{8}{3}}}{x^{\frac{3}{2}}y^{\frac{1}{5}}}[/tex]