The expression "cube root of $x^2$" can be written in exponential form using fractional exponents.

The cube root of a number is the same as raising that number to the power of $\frac{1}{3}$. So, the cube root of $x^2$ becomes:

$(x^2)^{\frac{1}{3}}$

Now, simplify the exponents:

$x^{2 \cdot \frac{1}{3}} = x^{\frac{2}{3}}$

Thus, the expression in exponential form is:

$x^{\frac{2}{3}}$

Would you like more details on how exponents work with roots, or do you have any other questions?

Here are five related questions for further practice:

1. How would you express the square root of $x^3$ in exponential form?
2. What is the exponential form of the fourth root of $x^5$?
3. How do you simplify $(x^3)^{1/4}$?
4. Can you express $\frac{1}{\sqrt{x}}$ using exponents?
5. What is the cube root of $x^6$ in exponential form?

Tip: When dealing with roots, remember that the $n$-th root of a number can always be written as that number raised to the power of $\frac{1}{n}$.