To simplify the expression \( -72\sqrt[3]{3} \), we can break it down into its components.
The expression can be expressed as:
\[ -72\sqrt[3]{3} \]
Since \(-72\) is a negative number and \(\sqrt[3]{3}\) is the cube root of \(3\), we keep the expression as is. There is no further simplification possible unless you would like to express \(-72\) in terms of its prime factors.
The factorization of \(-72\) is:
\[ -72 = -1 \times 2^3 \times 3^2 \]
Therefore, the expression \( -72\sqrt[3]{3} \) can be rewritten in terms of its prime factors:
\[ -1 \times 2^3 \times 3^2 \sqrt[3]{3} \]
This can remain as \( -72\sqrt[3]{3} \) since no further simplification makes sense for the cube root term combined with the constant.
Thus, the simplified form of the expression is:
\[ -72\sqrt[3]{3} \]
If you simply need it as it is written, that would be the final answer.