To solve this, we are going to use the formula for fractional exponents: [tex]a^{ \frac{m}{n} }= \sqrt[n]{a^m} [/tex]
We want to write the expression [tex]2^{ \frac{3}{5} }[/tex] as a radical. We can infer from our expression that [tex]a=2[/tex], [tex]m=3[/tex], and [tex]n=5[/tex], so lets replace those values in our formula:
[tex]a^{ \frac{m}{n} }= \sqrt[n]{a^m} [/tex]
[tex]2^{ \frac{3}{5} }= \sqrt[5]{2^3} [/tex]
We can conclude that the correct answer is: [tex]\sqrt[5]{2^3}[/tex]
