Question: Evaluate.
$$\left(\frac{1}{2} - \left(\frac{1}{3}\right)^2\right) \div 7$$
1. **State the problem:** Evaluate $$\left(\frac{1}{2} - \left(\frac{1}{3}\right)^2\right) \div 7$$.
2. **Recall the order of operations:** Calculate exponents first, then subtraction inside the parentheses, and finally division.
3. **Calculate the exponent:**
$$\left(\frac{1}{3}\right)^2 = \frac{1^2}{3^2} = \frac{1}{9}$$
4. **Substitute back and perform subtraction:**
$$\frac{1}{2} - \frac{1}{9} = \frac{9}{18} - \frac{2}{18} = \frac{7}{18}$$
5. **Divide by 7:**
$$\frac{7}{18} \div 7 = \frac{7}{18} \times \frac{1}{7} = \frac{\cancel{7}}{18} \times \frac{1}{\cancel{7}} = \frac{1}{18}$$
6. **Final answer:**
$$\boxed{\frac{1}{18}}$$