Answer:
8x^3y^4(∛xy)
First option
Step-by-step explanation:
[tex]\sqrt[3]{125x^{10}y^{13}}+\sqrt[3]{27x^{10}y^{13}}\\\\\sqrt[3]{125x^{10}y^{13}} = 5x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\\sqrt[3]{27x^{10}y^{13}} = 3x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\=5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\mathrm{Add\:similar\:elements:}\:\\5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\=8x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\\[/tex]
