To simplify \( 7 \sqrt[3]{99} \), we can first look at the number 99 to see if it can be factored into perfect cubes.
The prime factorization of 99 is:
\[ 99 = 3^2 \times 11 \]
Since neither \( 3^2 \) nor \( 11 \) is a perfect cube, we cannot simplify the cube root further. Therefore, the expression remains as is:
\[ 7 \sqrt[3]{99} \]
Thus, the simplified form of \( 7 \sqrt[3]{99} \) is:
\[ 7 \sqrt[3]{99} \]
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