None of the given answers are correct. We can check that fairly quickly:
![4\sqrt[3]{4}=\sqrt[3]{4^4}=\sqrt[3]{4}=\sqrt[3]{256}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/s7lybfpv246wwn2c3dqb7xu561nzjc8hfi.png)
Now let's do the same thing for given answers:
![a) 2\sqrt[3]{16}=\sqrt[3]{8\cdot 16}=\sqrt[3]{128}\\ b) 2\sqrt[3]{64}=\sqrt[3]{8\cdot 64}=\sqrt[3]{512}\\](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ye8lotwfav5yq197sejey0y42a20xzf58p.png)
I don't have to continute, it's pretty obvious that answers C and D are wrong (notice we multiply by 4 and on top of that we square the third root).