1. The problem is to simplify the expression $$\sqrt[4]{256} \cdot 81$$. 2. Recall that the fourth root of a number $a$ is a number $b$ such that $b^4 = a$. 3. First, simplify $$\sqrt[4]{256}$$. Since $256 = 4^4$, we have $$\sqrt[4]{256} = 4$$. 4. Now multiply this result by 81: $$4 \cdot 81 = 324$$. 5. Therefore, the simplified value of $$\sqrt[4]{256} \cdot 81$$ is $$324$$.