What is the radical form of each of the given expressions?Drag the answer into the box to match each expression.Choices in photo below.

The main rule to apply here is:

(i) [tex]\displaystyle{ a^ {\displaystyle{ (\frac{b}{c})} }= \displaystyle{ \sqrt[c]{a^b} [/tex]

(ii)If c=2, then we write the following [tex]\displaystyle{ a^ {\displaystyle{ (\frac{b}{2})} }= \displaystyle{ \sqrt{a^b} [/tex].


According to these rules:

[tex]\displaystyle{ 5^ {\displaystyle{ (\frac{2}{3})} }= \displaystyle{ \sqrt[3]{5^2} [/tex].

[tex]\displaystyle{ 5^ {\displaystyle{ (\frac{1}{2})} }= \displaystyle{ \sqrt{5^1}=\displaystyle{ \sqrt{5}[/tex].

[tex]\displaystyle{ 3^ {\displaystyle{ (\frac{2}{5})} }= \displaystyle{ \sqrt[5]{3^2} [/tex].

[tex]\displaystyle{ 3^ {\displaystyle{ (\frac{5}{2})} }= \displaystyle{ \sqrt{3^5} [/tex].