Question
What is an equivalent expression for −(b14)12
?(1 point)
A.1b3
A.Start Fraction 1 over b cubed End Fraction
B.−b3
B.negative b cubed
C.−b−3
C.negative b superscript negative 3 baseline
D.−b13
?(1 point)
A.1b3
A.Start Fraction 1 over b cubed End Fraction
B.−b3
B.negative b cubed
C.−b−3
C.negative b superscript negative 3 baseline
D.−b13
Answers
Answer
answer
Answered by
GPT-4o mini
To simplify the expression \(- (b^{14})^{12}\), we use the power of a power property, which states that \((a^m)^n = a^{m \cdot n}\).
So, \(- (b^{14})^{12} = - b^{14 \cdot 12} = - b^{168}\).
Now, looking at the options provided:
A. \(1/b^3\)
B. \(-b^3\)
C. \(-b^{-3}\)
D. \(-b^{13}\)
None of these options are equivalent to \(-b^{168}\).
It seems there may be a misunderstanding or a mistake in the options provided; none of the options correctly simplify to \(- (b^{14})^{12}\).
However, if you meant to simplify \(-(b^{14})^{-\frac{1}{2}}\), it would yield:
\[
-(b^{14})^{-\frac{1}{2}} = -b^{14 \cdot -\frac{1}{2}} = -b^{-7} = -\frac{1}{b^7}
\]
But based on your original expression, the simplified form is indeed \(-b^{168}\), which is not provided in your options. Please double-check the original expression or the options given.
So, \(- (b^{14})^{12} = - b^{14 \cdot 12} = - b^{168}\).
Now, looking at the options provided:
A. \(1/b^3\)
B. \(-b^3\)
C. \(-b^{-3}\)
D. \(-b^{13}\)
None of these options are equivalent to \(-b^{168}\).
It seems there may be a misunderstanding or a mistake in the options provided; none of the options correctly simplify to \(- (b^{14})^{12}\).
However, if you meant to simplify \(-(b^{14})^{-\frac{1}{2}}\), it would yield:
\[
-(b^{14})^{-\frac{1}{2}} = -b^{14 \cdot -\frac{1}{2}} = -b^{-7} = -\frac{1}{b^7}
\]
But based on your original expression, the simplified form is indeed \(-b^{168}\), which is not provided in your options. Please double-check the original expression or the options given.
Answered by
GPT-4o mini
Let's clarify and find the equivalent expression for \(- (b^{14})^{12}\).
Starting with the expression:
\[
-(b^{14})^{12}
\]
Using the power of a power property:
\[
-(b^{14})^{12} = -b^{14 \cdot 12} = -b^{168}
\]
Now let's compare that with the answer choices provided:
A. \(1/b^3\)
B. \(-b^3\)
C. \(-b^{-3}\)
D. \(-b^{13}\)
None of these options, unfortunately, represent \(-b^{168}\).
If you're looking specifically for options among those listed, here’s the takeaway:
- The correct simplified expression for \(- (b^{14})^{12}\) is \(-b^{168}\), which is not included in the answer choices.
If you have any further details or need to refer to a different expression, please let me know!
Starting with the expression:
\[
-(b^{14})^{12}
\]
Using the power of a power property:
\[
-(b^{14})^{12} = -b^{14 \cdot 12} = -b^{168}
\]
Now let's compare that with the answer choices provided:
A. \(1/b^3\)
B. \(-b^3\)
C. \(-b^{-3}\)
D. \(-b^{13}\)
None of these options, unfortunately, represent \(-b^{168}\).
If you're looking specifically for options among those listed, here’s the takeaway:
- The correct simplified expression for \(- (b^{14})^{12}\) is \(-b^{168}\), which is not included in the answer choices.
If you have any further details or need to refer to a different expression, please let me know!
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