What is an equivalent expression for −(b^1/4)^12 ?

Question

-b^3

-b^1/3

1/b^3

-b^-3

Answer 1

To simplify the expression \(- (b^{1/4})^{12}\), we can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).

Applying this to our expression:

\[ -(b^{1/4})^{12} = -b^{(1/4) \cdot 12} = -b^{3} \]

So the equivalent expression for \(- (b^{1/4})^{12}\) is \(-b^3\).

Therefore, the correct choice is:

\(-b^3\).