1. **State the problem:** Evaluate $$\frac{(5 \times 10^{3}) \times (2 \times 10^{-3})}{7}$$ and express the answer in standard form rounded to 2 decimal places. 2. **Use the properties of exponents and multiplication:** When multiplying powers of 10, add the exponents. 3. **Calculate the numerator:** $$ (5 \times 10^{3}) \times (2 \times 10^{-3}) = 5 \times 2 \times 10^{3 + (-3)} = 10 \times 10^{0} = 10 $$ 4. **Write the fraction:** $$ \frac{10}{7} $$ 5. **Simplify the fraction:** $$ \frac{\cancel{10}}{7} = \frac{10}{7} $$ (no common factors to cancel) 6. **Divide to get decimal form:** $$ \frac{10}{7} \approx 1.428571... $$ 7. **Round to 2 decimal places:** $$ 1.43 $$ 8. **Express in standard form:** $$ 1.43 \times 10^{0} $$ **Final answer:** $$1.43$$