To find the value of \( (23)^{-4} \), we start by rewriting it:
\[ (23)^{-4} = \frac{1}{(23)^4} \]
Now, we need to calculate \( (23)^4 \):
\[ (23)^2 = 529 \]
Then we square that result to find \( (23)^4 \):
\[ (23)^4 = (23^2)^2 = 529^2 \]
Calculating \( 529^2 \):
\[ 529 \times 529 = 279841 \]
So, \( (23)^4 = 279841 \).
Now substituting back into the expression for \( (23)^{-4} \):
\[ (23)^{-4} = \frac{1}{279841} \]
Now let's express this as a decimal to understand the options better. The decimal is very close to zero (but a very small positive value).
None of the given options directly relate to the computed value of \( \frac{1}{279841} \). None of the other numbers—as fractions or whole numbers given above—relate to \( \frac{1}{23^4} \).
Thus, it appears the options may not include the direct answer derived through mathematical calculations, but based on the numbers given like \( 81/16 \), \( 16/81 \), and similar, it might be evaluating parts of exponents related back to powers of previous.
None of the provided options are valid based on the calculations, and the correct calculation remains:
\[ \frac{1}{279841} \approx 0.00000357\ldots \]
And does not align with any of the negative or fractional options provided in your question. So based on options not valid.
However, if you require a close approximation, or need further clarification/utilization of the options displayed, kindly check the intended operation or formula arrangement.