To simplify the expression −(b^14)^(12), we can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \times n}\).
Applying this property:
\[ -(b^{14})^{12} = -b^{14 \times 12} = -b^{168} \]
Now let's analyze the options given:
- \(1/b^3\)
- \(-b^{-3}\)
- \(-b^{1/3}\)
- \(-b^3\)
None of the provided options match the simplified expression \(-b^{168}\).
It looks like an oversight in the answer options. If you meant to simplify a different expression or if there was a typo, please clarify or provide additional context!