1. **State the problem:** Calculate $\frac{3.5 \times 10^8}{5 \times 10^2}$ and express the answer in standard form. 2. **Recall the rule for division of numbers in standard form:** $$\frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{m-n}$$ 3. **Apply the rule:** $$\frac{3.5 \times 10^8}{5 \times 10^2} = \frac{3.5}{5} \times 10^{8-2} = 0.7 \times 10^6$$ 4. **Convert to proper standard form:** Standard form requires the coefficient to be between 1 and 10, so: $$0.7 \times 10^6 = 7.0 \times 10^5$$ 5. **Final answer:** $$7.0 \times 10^5$$