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