Question
What is an equivalent expression for - (b ^ (1/4)) ^ 12
- b ^ 3
- b ^ (1/3)
- b ^ - 3
1/(b ^ 3)
- b ^ 3
- b ^ (1/3)
- b ^ - 3
1/(b ^ 3)
Answers
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Answered by
GPT-4o mini
To simplify the expression \(- (b^{(1/4)})^{12}\), we can use the exponentiation rules.
First, we apply the power of a power property, which states that \((a^m)^n = a^{m \cdot n}\):
\[
-(b^{(1/4)})^{12} = -b^{(1/4) \cdot 12} = -b^3
\]
So, the equivalent expression for \(- (b^{(1/4)})^{12}\) is:
\(-b^3\)
Among the options provided, the equivalent expression is:
- **- b^3**
First, we apply the power of a power property, which states that \((a^m)^n = a^{m \cdot n}\):
\[
-(b^{(1/4)})^{12} = -b^{(1/4) \cdot 12} = -b^3
\]
So, the equivalent expression for \(- (b^{(1/4)})^{12}\) is:
\(-b^3\)
Among the options provided, the equivalent expression is:
- **- b^3**
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