To find the value of \( (54)^{-3} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Therefore, we have:
\[ (54)^{-3} = \frac{1}{(54)^3} \]
Next, we need to compute \( (54)^3 \):
\[ (54)^3 = 54 \times 54 \times 54 \]
Calculating \( 54^2 \):
\[ 54 \times 54 = 2916 \]
Now, multiplying \( 2916 \) by \( 54 \):
\[ 2916 \times 54 = 157464 \]
Thus, \( (54)^3 = 157464 \), and now we find \( (54)^{-3} \):
\[ (54)^{-3} = \frac{1}{157464} \]
Since none of the provided responses match \( \frac{1}{157464} \), it seems like we need to reevaluate.
If we simplify the expression or try to find a numerical approximation and compare, we can see the original question seems to revolve around some fractions which might not be calculable directly.
However, as it stands, the provided options do not represent the correct answer \( (54)^{-3} = \frac{1}{157464} \).
For an error in understanding, evaluating these fractions:
- \(-125/64\), \(64/125\), \(-64/125\), and \(125/64\) seem unrelated as they represent negative and positive values not coinciding with our value derived from \( (54)^{-3} \).
If you are indeed looking for confirmation to circle back to the wrong answers, it's best to indicate the computation \( (54)^{-3} = \frac{1}{157464} \) or \( 64/125 \) which appears non-related from \(54\).
Please cross-verify the question origin or parameters; if modified with different variables.