The image shows the expression $\left(\frac{a}{\sqrt{3}}\right)^2$.

To simplify this expression, we can square both the numerator and the denominator:

$\left(\frac{a}{\sqrt{3}}\right)^2 = \frac{a^2}{(\sqrt{3})^2}$

Since $(\sqrt{3})^2 = 3$, the expression simplifies to:

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

So, $\left(\frac{a}{\sqrt{3}}\right)^2 = \frac{a^2}{3}$.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What is the general rule for squaring fractions?
2. How would you simplify $\left(\frac{a}{b}\right)^2$ where $a$ and $b$ are any numbers?
3. What is the process of rationalizing the denominator?
4. How would the expression change if the denominator was $\sqrt{2}$ instead of $\sqrt{3}$?
5. Can you express $\frac{a^2}{3}$ as a decimal if $a$ is a specific number?

Tip: When squaring a fraction, square both the numerator and the denominator independently to simplify the expression.