Question

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

Answer 1

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}`.