To simplify the expression \(- (b^{1/4})^{12}\), we can apply the power of a power property of exponents, which states that \((x^m)^n = x^{m \cdot n}\).
So, we have:
\[
- (b^{1/4})^{12} = - b^{(1/4) \cdot 12} = - b^{3} \]
Therefore, the equivalent expression is:
\(-b^3\)
So, the correct response is:
−b³ (negative b cubed)