1. **State the problem:** Calculate the value of $$\left(\frac{30 \times 10^{-3} \text{ m}}{1.2 \times 10^{7} \text{ m/s}}\right)^2$$. 2. **Formula and rules:** We are squaring a fraction. The rule is $$\left(\frac{a}{b}\right)^2 = \frac{a^2}{b^2}$$. 3. **Calculate numerator and denominator separately:** - Numerator: $$30 \times 10^{-3} = 30 \times 0.001 = 0.03$$ - Denominator: $$1.2 \times 10^{7} = 12,000,000$$ 4. **Form the fraction:** $$\frac{0.03}{1.2 \times 10^{7}} = \frac{0.03}{12,000,000}$$ 5. **Calculate the fraction value:** $$\frac{0.03}{12,000,000} = 2.5 \times 10^{-9}$$ 6. **Square the fraction:** $$\left(2.5 \times 10^{-9}\right)^2 = (2.5)^2 \times (10^{-9})^2 = 6.25 \times 10^{-18}$$ 7. **Final answer:** $$6.25 \times 10^{-18}$$