Question: Simplify the expression.
$\left(\frac{x}{7}\right)^2$
$x$
1. **State the problem:** Simplify the expression $$\left(\frac{x}{7}\right)^2$$.
2. **Recall the formula:** When you square a fraction, you square both the numerator and the denominator separately:
$$\left(\frac{a}{b}\right)^2 = \frac{a^2}{b^2}$$
3. **Apply the formula:** Here, $a = x$ and $b = 7$, so
$$\left(\frac{x}{7}\right)^2 = \frac{x^2}{7^2}$$
4. **Simplify the denominator:**
$$7^2 = 49$$
5. **Final simplified expression:**
$$\frac{x^2}{49}$$
This means the square of the fraction $\frac{x}{7}$ is $\frac{x^2}{49}$.
6. **Note:** The variable $x$ alone is not simplified further here; the expression asked to simplify is the squared fraction.
**Answer:** $$\frac{x^2}{49}$$