Respuesta :

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------\\\\ (5x^4y^3)^{\frac{2}{9}}\implies \sqrt[9]{(5x^4y^3)^2}\implies \sqrt[9]{(5^2x^{4\cdot 2}y^{3\cdot 2})}\implies \sqrt[9]{25x^8y^6}[/tex]