To simplify \(\sqrt[3]{54}\), we first factor 54 into its prime factors:
\[ 54 = 2 \times 27 = 2 \times 3^3 \]
Now we can express the cube root:
\[ \sqrt[3]{54} = \sqrt[3]{2 \times 3^3} \]
Using the property of cube roots, we can separate the factors:
\[ \sqrt[3]{54} = \sqrt[3]{2} \times \sqrt[3]{3^3} \]
Since the cube root of \(3^3\) is simply 3, we have:
\[ \sqrt[3]{54} = \sqrt[3]{2} \times 3 \]
Thus, the simplified form of \(\sqrt[3]{54}\) is:
\[ 3\sqrt[3]{2} \]
So, \(\sqrt[3]{54}\) simplifies to \(\boxed{3\sqrt[3]{2}}\).