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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.

Simplify the expression \(\left(\frac{a}{\sqrt{3}}\right)^2\).

Learn how to simplify the expression \(\left(\frac{a}{\sqrt{3}}\right)^2\). This tutorial covers essential algebraic concepts like exponentiation and fraction simplification, providing a clear step-by-step approach. Suitable for students in Grades 8-10.

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