To solve the equation \((16^x)^6 = (16^{18})\), we can simplify both sides.
Starting with the left side:
\[ (16^x)^6 = 16^{6x} \]
So, we rewrite the equation:
\[ 16^{6x} = 16^{18} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 6x = 18 \]
Now, we solve for \(x\) by dividing both sides by 6:
\[ x = \frac{18}{6} = 3 \]
Thus, the exponent that would make the two expressions equivalent is
\[ \boxed{3} \]
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