Respuesta :

[tex]\bf \sqrt[3]{875x^5y^9}\quad \begin{cases} 875=5\cdot 5\cdot 5\cdot 7\\ \qquad 5^3\cdot 7 \end{cases}\implies \sqrt[3]{5^35x^{3+2}y^{3\cdot 3}} \\\\\\ \sqrt[3]{5^35x^3x^2(y^3)^3}\implies 5x(y)^3\sqrt[3]{5x^2}\implies 5xy^3\sqrt[3]{5x^2}[/tex]