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