Respuesta :

let given problem as:

[tex]y=\sqrt[3]{64}[/tex]

By using prime factorisation:

[tex]y=\sqrt[3]{2\times2\times2\times2\times2\times2}[/tex]

By simplyfing it we can write it is:

[tex]y=\sqrt[3]{4\times4\times4}[/tex]

or:

[tex]\begin{gathered} y=(4^3)^{\frac{1}{3}} \\ y=4 \end{gathered}[/tex]

so the answe of cube rootof 64 is 4.