1. **State the problem:** Simplify the expression $$(2x + 1)^0$$. 2. **Recall the rule:** Any non-zero number or expression raised to the power of zero equals 1. That is, for any $a \neq 0$, $$a^0 = 1$$. 3. **Apply the rule:** Since $2x + 1$ is an expression and assuming it is not zero, we have: $$ (2x + 1)^0 = 1 $$ 4. **Final answer:** The simplified form of $$(2x + 1)^0$$ is $$1$$.