Verified Answer :

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Answer:

The required radical form is \(\sqrt[3]{9x^4}\).

Step-by-step explanation:

Consider the provided expression.

\((3x^2)^\frac{2}{3}\)

The above expression can be written as:

\(\sqrt[3]{(3x^2)^2}\)

Now use the property of exponent:

\((a^m)^n=a^{(m\times n)}=a^{mn}\)

Use the above property as shown:

\(\sqrt[3]{3^2x^{2\times 2}}\)

\(\sqrt[3]{9x^4}\)

Hence, the required radical form is \(\sqrt[3]{9x^4}\).