For this case we have the following expression:
[tex]\sqrt[3]{256x^{10}*y^{7}}[/tex]
We can rewrite it in the following way:
[tex]\sqrt[3]{(64*4)x^{9+1}*y^{6}*y^{1}}[/tex]
Simplifying, taking into account that: [tex]ax ^ b * ax ^ b = (a * a) x^{b+b}[/tex], we have the following:
[tex]4x^3*y^2(\sqrt[3]{4x*y} )[/tex]
Thus, the simplified expression is given by:
[tex]4x^3*y^2(\sqrt[3]{4x*y} )[/tex]
Answer:
[tex]4x^3*y^2(\sqrt[3]{4x*y} )[/tex]
