1. **Problem 1:** Calculate the value of the expression $$6.285 \times 6.439 \div 8.96 \times 2.764 \div 2$$. 2. Perform the multiplications and divisions step-by-step: $$6.285 \times 6.439 = 40.460415$$ $$40.460415 \div 8.96 = 4.515625$$ $$4.515625 \times 2.764 = 12.4822345$$ $$12.4822345 \div 2 = 6.24111725$$ 3. **Final answer for Problem 1:** $$6.2411$$ (rounded to 4 decimal places). 4. **Problem 2:** Evaluate the expression $$\sqrt[3]{\frac{(38.32 \times 2.964)^2}{8.637 \times 6.285}}$$. 5. Calculate the numerator inside the cube root: $$38.32 \times 2.964 = 113.54448$$ Square it: $$(113.54448)^2 = 12890.352$$ 6. Calculate the denominator: $$8.637 \times 6.285 = 54.280245$$ 7. Form the fraction inside the cube root: $$\frac{12890.352}{54.280245} = 237.615$$ 8. Take the cube root: $$\sqrt[3]{237.615} = 6.204$$ 9. **Final answer for Problem 2:** $$6.204$$ (rounded to 3 decimal places).