To determine the exponent that makes the expressions \((3^3)^{\text{?}} = 3^{24}\) equivalent, we can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).
Let's denote the unknown exponent as \(x\). The left-hand side of the equation can be rewritten as follows:
\[ (3^3)^x = 3^{3x} \]
Now we have:
\[ 3^{3x} = 3^{24} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 3x = 24 \]
Now, solve for \(x\):
\[ x = \frac{24}{3} = 8 \]
Thus, the exponent that makes the two expressions equivalent is \(8\).
The answer is 8.