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Answer:

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

Step-by-step explanation:

Consider the provided expression.

[tex](3x^2)^\frac{2}{3}[/tex]

The above expression can be written as:

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

Now use the property of exponent:

[tex](a^m)^n=a^{(m\times n)}=a^{mn}[/tex]

Use the above property as shown:

[tex]\sqrt[3]{3^2x^{2\times 2}}[/tex]

[tex]\sqrt[3]{9x^4}[/tex]

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

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