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

11^2

Answer 1

To create an equivalent expression for \(11 - 7 \cdot 11^5\), let's first compute the expression step by step:

1. We have \(7 \cdot 11^5\).
2. So, \(11 - 7 \cdot 11^5 = 11 - \text{(some large number)}\).

However, the expression is not straightforward and doesn't appear to simplify neatly. Instead, let's analyze the options given.

1. **One over eleven raised to the second power**: This is \(\frac{1}{11^2}\).
2. **One over eleven raised to the power of negative two**: This is equivalent to \(11^{-2}\).
3. **\(11^2\)**: This equals \(121\).

Given that the expression involves subtraction and multiplication of powers, none of these seem to directly relate to a single numerical calculation without evaluating the original expression numerically.

However, there seems to be a misunderstanding in the expression given in the prompt. The expression \(11 - 7 \cdot 115\) appears incorrect or may need clarification.

If we were simply to choose from the options based solely on their mathematical expressions, **one over eleven raised to the power of negative two** (which is equivalent to \(\frac{1}{11^2}\)) could be considered as providing a type of power expression for the number eleven.

Thus, **the best interpretation** based on evaluating similar expressions would lead me to choose:

**One over eleven raised to the power of negative two** (which is \(11^{-2}\)).