To solve for the exponent \( x \) that makes the two expressions equivalent, we start with the equation:
\[ (3^3)x = 3^{24} \]
We can rewrite the left side by first simplifying \( (3^3)x \) as \( 3^{3x} \):
\[ 3^{3x} = 3^{24} \]
Since both sides have the same base (3), we can set the exponents equal to each other:
\[ 3x = 24 \]
Now, solve for \( x \):
\[ x = \frac{24}{3} \] \[ x = 8 \]
Thus, the exponent that makes the two expressions equivalent is \( 8 \).
The correct response is:
8.