which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3

Answer:
Option (4) is correct.
Step-by-step explanation:
We need to show that [tex]5^{3/2}[/tex] is equivalent to radical [tex]\sqrt{5^3}[/tex].
We can do it as follows :
[tex]\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}[/tex]
Hence, the correct option is (4).