Respuesta :

3xy multiplied by the cube root of y^2

Answer:

[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]

Explanation:

[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]

  • applying radical rule

[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]

  • simplify

[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]

  • put cubic root

[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]

  • simplify

[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]