Question

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

Answer 1

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

Answer 2

I hope this helps you