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

Responses

−b3
negative b cubed

−b13
negative b superscript Start Fraction 1 over 3 End Fraction baseline

1b3
Start Fraction 1 over b cubed End Fraction

−b−3
negative b superscript negative 3 baseline

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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

1. Apply the property:
\[
- (b^{1/4})^{12} = - b^{(1/4) \cdot 12}
\]

2. Calculate the exponent:
\[
(1/4) \cdot 12 = 3
\]

3. Thus, we have:
\[
- b^3
\]

So, the equivalent expression for \(- (b^{1/4})^{12}\) is \(- b^3\), which corresponds to the response:

**−b3 (negative b cubed)**