STEP-BY-STEP EXPLANATION
The question is:
[tex]\sqrt[3]{125x^2y^7}[/tex]Step 1:
[tex](125x^2y^7)^{\frac{1}{3}}[/tex]Step 2:
[tex]125^{\frac{1}{3}}x^{\frac{2}{3}}y^{\frac{7}{3}}[/tex]Step 3:
[tex]5x^{\frac{2}{3}}y^{\frac{6}{3}+\frac{1}{3}}[/tex]Step 4:
[tex]5y^2\sqrt[3]{x^2y}[/tex]