Question

Create an equivalent expression for 11−7 • 115.

Group of answer choices

one over eleven raised to the second power

one over eleven raised to the power of negative two

112

Answer 1

To simplify the expression \( 11 - 7 \cdot 115 \), we first perform the multiplication:

\[
7 \cdot 115 = 805
\]

Next, we subtract this from 11:

\[
11 - 805 = -794
\]

Now, we need to determine which of the answer choices corresponds to \(-794\).

1. **One over eleven raised to the second power:**
This is \(\frac{1}{11^2} = \frac{1}{121}\).

2. **One over eleven raised to the power of negative two:**
This is \(\frac{1}{11^{-2}} = 11^2 = 121\).

3. **112:**
This is simply 112.

None of the given choices correspond to \(-794\).

If we look at the options, the correct choice based on mathematical interpretation would lean towards **"one over eleven raised to the power of negative two,"** but it doesn’t relate to the initial calculation of \(11 - 7 \cdot 115\).

In summary, while none of these choices accurately represent the value we calculated, \(\frac{1}{11^{-2}} = 121\) is the closest interpretation typically; however, it does not equal the original calculation.