The starting expression is
[tex]\sqrt[3]{56x^7y^5}[/tex]
Then,
[tex]\begin{gathered} \sqrt[3]{56x^7y^5} \\ =\sqrt[3]{(7)\cdot(8)x^6\cdot x\cdot y^3\cdot y^2} \\ =\sqrt[3]{(7)\cdot(2)^3x^6\cdot x\cdot y^3\cdot y^2} \\ =2\cdot x^2\cdot y\sqrt[3]{7\cdot x\cdot y^2} \\ =2x^2y\sqrt[3]{7xy^2} \end{gathered}[/tex]
The last line is the answer, and it is the same as option A. Therefore option A is the answer.
