Answer:
Option 2 and Option 4 and Option 5
Explanation:
or this exercise it is importnatn to to remember the properties that are shown below:
1)
![a^{(1)/(n ) } =\sqrt[n]{a}](https://img.qammunity.org/2021/formulas/mathematics/high-school/p70kzdd0fkirc7aycoy9mrucp9lh08uenx.png)
2)

Therefore, given the following expression provided in the exercise:
![\sqrt[3]{4^(5) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/izq6pfjza5r4tzcfln6q76tyoimz7ywwne.png)
You can apply the properties mentioned before, in order to find an equivalent expression.
![\sqrt[3]{4^(5) } =(4^5)(1)/(3) }= 4(5+1)/(3) =4^{(5)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/n7ydlpuq5zvd4hr0axv0kcjmo4797k2j9c.png)
Therefore, you get:
Option 2
Addition of exponent if base is same
