Answer: [tex]3zx^2y^3\sqrt[3]{3xz^2}[/tex]
Explanation:
[tex]\sqrt[3]{81x^7y^9z^5}[/tex]=
[tex]\sqrt[3]{27*3x^{6+1}y^9z^{3+2}}[/tex]=
[tex]\sqrt[3]{3^3*3x*x^6y^9z^3z^2}[/tex]=
[tex]\sqrt[3]{3^3*3x*(x^2)^3(y^3)^3z^3z^2}[/tex]=
[tex]\sqrt[3]{3^3*(x^2)^3(y^3)^3z^3*3x*z^2}[/tex]=
[tex]\sqrt[3]{(3zx^2y^3)^3*3x*z^2}[/tex]=[tex]3zx^2y^3\sqrt[3]{3xz^2}[/tex]
