simplify the radical expression

Answer:
Step-by-step explanation:
[tex]\sqrt[4]{625x^{12}y^{8}}=\sqrt[4]{5*5*5*5*x^{3*4}y^{2*4}}\\\\ =\sqrt[4]{5^{4}*(x^{3})^{4}*(y^{2})^{4}}\\\\ =5*x^{3}*y^{2}\\\\=5x^{3}y^{2}[/tex]