1. **State the problem:** Simplify or understand the expression $$\frac{x^4}{4}$$. 2. **Formula and rules:** This is a simple algebraic expression where the numerator is $x^4$ (x raised to the power 4) and the denominator is 4. 3. **Intermediate work:** There is no further simplification possible since $x^4$ and 4 have no common factors. 4. **Explanation:** The expression means "x to the fourth power divided by 4." It is already in its simplest form. 5. **Final answer:** $$\frac{x^4}{4}$$