Question

what is the index when \\(x^{\frac{2}{3}}\\) is rewritten as a radical expression?

enter your answer as a number, like this: 42

Explanation:

Step1: Identify the radical rule

$$x^{\frac{m}{n}} = \sqrt[n]{x^m}$$

Step2: Apply rule to the expression

$$x^{\frac{2}{3}} = \sqrt[3]{x^2}$$

Step3: Determine the index

The index of the radical \(\sqrt[3]{x^2}\) is \(3\).

Answer:

3