Respuesta :
Answer:
[tex]\sqrt[5]{8}[/tex] is the radical form of the given expression.
Step-by-step explanation:
We have been given an expression:
[tex]2^{\frac{3}{5}}[/tex]
It can be rewritten as:
Using [tex]x^{\frac{a}{b}}=x^{a\cdot\frac{1}{b}}[/tex]
[tex](2^3)^{\frac{1}{5}}[/tex]
Now, we will use the formula:
[tex]x^{\frac{1}{n}}=\sqrt[n]{x}[/tex]
Here, n=5
We have [tex]2{^3\cdot\frac{1}{5}}=\sqrt[5]{2^3}[/tex]
We know that [tex]2^3=8[/tex]
So, [tex]\sqrt[5]{8}[/tex] is the radical form of the given expression.
