HELP ME AND DO NOT GUESS PLEASE HELP ME I AM DYING'What is the simplified form of the following expression? Assume THE FIRST IMAGE IS THE ORIGINAL, THE LAST 4 ARE ANSWER

[tex] \sqrt[3]{ \frac{12x^2}{16y} } = \sqrt[3]{ \frac{3x^2}{4y} } = \frac{ \sqrt[3]{3x^2} }{ \sqrt[3]{4y} }= \frac{ \sqrt[3]{3x^2} \cdot \sqrt[3]{(4y^2)} }{ \sqrt[3]{4y} \cdot \sqrt[3]{(4y^2)} }=\frac{ \sqrt[3]{48x^2y^2} }{ \sqrt[3]{64y^3} }= \frac{ 2\sqrt[3]{6x^2y^2} }{ 4y}= \\\\\\ = \frac{ \sqrt[3]{6x^2y^2} }{ 2y}[/tex]