Question

What is an equivalent expression for −(b14)12
?(1 point)
Responses

1b3
Start Fraction 1 over b cubed End Fraction

−b−3
negative b superscript negative 3 baseline

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

−b3

Answer 1

To simplify the expression −(b^14)^(12), we can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \times n}\).

Applying this property:

\[
-(b^{14})^{12} = -b^{14 \times 12} = -b^{168}
\]

Now let's analyze the options given:

1. \(1/b^3\)
2. \(-b^{-3}\)
3. \(-b^{1/3}\)
4. \(-b^3\)

None of the provided options match the simplified expression \(-b^{168}\).

It looks like an oversight in the answer options. If you meant to simplify a different expression or if there was a typo, please clarify or provide additional context!