Step 1 :\(\sqrt[4]{-81}\) is not a real number because the fourth root of a negative number is not defined in the real number system.
Step 2 :\(\sqrt[3]{-64} = -4\) because \(-4^3 = -64\)
Step 3 :\(\boxed{-4}\) is the final answer for \(\sqrt[3]{-64}\)