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Answer :

ANSWER

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]