Step 1
From the list of numbers given, the only number that can be perfectly squared rooted and cube rooted is
![\begin{gathered} 64 \\ Note\text{ that} \\ \sqrt[]{64}=8 \\ \sqrt[3]{64}=4 \\ \text{Thus} \\ 8*8=64 \\ \text{and} \\ 4*4*4=\text{ 64} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/rurr0cv4euhlm5mj8dcgbkpceo2d2nga8u.png)
Therefore, it is because a number can be multiplied by itself once
and another number can be multiplied by itself twice to reach the given value
Answer = 64