Properties of Exponential Function for Roots.
![a^{(m)/(n)}=\sqrt[n]{a^m}](https://img.qammunity.org/2021/formulas/mathematics/college/elc7vlxuco1vxk2i5t873e0hhlp1kfzrjv.png)
The first one is wrong as 4^1/2 would equal √4 = 2
The second choice is correct.
The third choice is correct because ∛8 = 2 and √4 also = 2
The fourth choice is wrong because √8 = 2√2
The fifth choice is also wrong because 2^1/2 would be √2 while √32 is 2^5
The sixth choice is 3^3/2 which would equal √27 = 3√3 which is correct.