To make the two expressions \((3^3)^x\) and \(3^{24}\) equivalent, we can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).
So, we start by simplifying the left side:
\[ (3^3)^x = 3^{3x} \]
Now, we have the equation:
\[ 3^{3x} = 3^{24} \]
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 would make the two expressions equivalent is \(8\).
The correct answer is:
8