To simplify the expression \( -(b^{14})^{12} \), we need to use the power of a power property in exponents, which states that \( (x^m)^n = x^{m \cdot n} \).
Applying this property, we get:
\[
-(b^{14})^{12} = -b^{14 \cdot 12} = -b^{168}
\]
Now, let's analyze the options provided:
1. \(-b^3\)
2. \(-b^{1/3}\)
3. \(-b^{-3}\)
4. \(\frac{1}{b^3}\)
None of these options are equivalent to \(-b^{168}\).
If there are any other options or if you need to clarify further, feel free to let me know!