[tex] {125}^{4} \div {5}^{10} = {( {5}^{3} )}^{4} \div {5}^{10} = {5}^{12} \div {5}^{12} = {5}^{12 - 10} = {5}^{2} = 25[/tex]
[tex]125^4:5^{10}=(5^3)^4:5^{10}=5^{12}:5^{10}=5^2=\boxed{25}[/tex]
