To simplify the expression \( 81 - 12 \), first, we calculate the value:
\[ 81 - 12 = 69 \]
Now, let's examine the response options:
- \( 181\sqrt{} \) - This does not relate to 69.
- \( \frac{1}{\sqrt{81}} \) - This simplifies to \( \frac{1}{9} \).
- \(-\sqrt{81}\) - This simplifies to \(-9\).
- \(-\frac{1}{\sqrt{81}}\) - This simplifies to \(-\frac{1}{9}\).
- \(\sqrt{81}\) - This simplifies to \(9\).
None of the options are equivalent to 69. However, if the question intended to only evaluate the operation, then the answer would solely depend on clarification of the expressions. Based on the expressions provided, none are technically equivalent to \(81 - 12\).
However, if you meant to simplify from the expression layout (maybe due to misunderstood symbols), it would be best to revisit them under clearer terms or specify any additional context regarding those operations.