1. **State the problem:** Simplify the expression $$\left(\frac{3}{5}\right)^2 \div \left(\frac{3}{5} - \frac{1}{14}\right)$$ and find the correct simplified answer. 2. **Write the formula and rules:** To divide fractions, multiply by the reciprocal. Also, subtract fractions by finding a common denominator. 3. **Calculate the numerator:** $$\left(\frac{3}{5}\right)^2 = \frac{3^2}{5^2} = \frac{9}{25}$$ 4. **Calculate the denominator:** Find common denominator for $$\frac{3}{5} - \frac{1}{14}$$ Common denominator is $$70$$. $$\frac{3}{5} = \frac{3 \times 14}{5 \times 14} = \frac{42}{70}$$ $$\frac{1}{14} = \frac{1 \times 5}{14 \times 5} = \frac{5}{70}$$ Subtract: $$\frac{42}{70} - \frac{5}{70} = \frac{42 - 5}{70} = \frac{37}{70}$$ 5. **Divide the fractions:** $$\frac{9}{25} \div \frac{37}{70} = \frac{9}{25} \times \frac{70}{37}$$ 6. **Multiply numerators and denominators:** $$\frac{9 \times 70}{25 \times 37} = \frac{630}{925}$$ 7. **Simplify the fraction:** Find gcd of 630 and 925 is 5. $$\frac{\cancel{5} \times 126}{\cancel{5} \times 185} = \frac{126}{185}$$ 8. **Final answer:** $$\boxed{\frac{126}{185}}$$ This matches the choice 126/185.