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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. \(1/b^3\)
2. \(-b^{-3}\)
3. \(-b^{1/3}\)
4. \(-b^3\)
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!