Question: Work out $$\frac{(11-9)^3}{2}$$
1. **State the problem:** We need to calculate the value of the expression $$\frac{(11-9)^3}{2}$$.
2. **Understand the expression:** The numerator is the cube of the difference between 11 and 9, and the denominator is 2.
3. **Calculate the difference:** $$11 - 9 = 2$$.
4. **Cube the difference:** $$2^3 = 2 \times 2 \times 2 = 8$$.
5. **Substitute back into the fraction:** $$\frac{8}{2}$$.
6. **Simplify the fraction:** We can cancel the common factor 2 in numerator and denominator:
$$\frac{\cancel{8}}{\cancel{2}} = 4$$.
7. **Final answer:** The value of the expression is $$4$$.