can you help me put the right ones in the boxes?

Let's begin by listing out the information given to us:
[tex]y^3=\frac{64}{729}[/tex][tex]\begin{gathered} y^3=\frac{64}{729} \\ \text{Apply the definition }of\text{ cube root} \\ \sqrt[3]{y^3}=\sqrt[3]{\frac{64}{729}} \\ y=\frac{4}{9} \end{gathered}[/tex]