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To simplify the expression \(- (b^{1/4})^{12}\), we can use the power of a power property of exponents, which states that:
\[
(a^m)^n = a^{m \cdot n}
\]
Applying this property:
\[
-(b^{1/4})^{12} = -b^{(1/4) \cdot 12}
\]
Calculating the exponent:
\[
(1/4) \cdot 12 = 12/4 = 3
\]
So, we have:
\[
-(b^{1/4})^{12} = -b^3
\]
Therefore, the equivalent expression is:
\(-b^3\) (negative b cubed).