1. **State the problem:** Simplify the expression $$\frac{9}{13} \times 9 \times 10 \times (2e) \times (24e) \times (5.4 \times 1.6 \times 10) \times r$$. 2. **Rewrite the expression clearly:** $$\frac{9}{13} \times 9 \times 10 \times 2e \times 24e \times 5.4 \times 1.6 \times 10 \times r$$ 3. **Group constants and variables:** Constants: $$\frac{9}{13}, 9, 10, 2, 24, 5.4, 1.6, 10$$ Variables: $$e \times e = e^2$$ and $$r$$ 4. **Multiply constants step-by-step:** $$9 \times 9 = 81$$ $$81 \times 10 = 810$$ $$810 \times 2 = 1620$$ $$1620 \times 24 = 38880$$ $$38880 \times 5.4 = 209952$$ $$209952 \times 1.6 = 335923.2$$ $$335923.2 \times 10 = 3359232$$ 5. **Include the fraction $$\frac{9}{13}$$:** $$3359232 \times \frac{9}{13} = \frac{3359232 \times 9}{13} = \frac{30233088}{13}$$ 6. **Simplify the fraction:** $$\frac{30233088}{13} = 2325622.1538...$$ (approximate) 7. **Write the final expression:** $$2325622.1538... \times e^2 \times r$$ **Answer:** $$\approx 2325622.15 e^2 r$$