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What is the expression in radical form? (3x^2)^2/3

1 Answer

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Answer:

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

Explanation:

Consider the provided expression.


(3x^2)^(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* n))=a^(mn)

Use the above property as shown:


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


\sqrt[3]{9x^4}

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

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