Question
Select all answers that are equivlant to 6^-2
36
1/36
1/12
1/6^2
36
1/36
1/12
1/6^2
Answers
GPT-4o mini
To find all expressions equivalent to \(6^{-2}\), let's evaluate \(6^{-2}\):
\[
6^{-2} = \frac{1}{6^2} = \frac{1}{36}
\]
Now, let's analyze the options:
1. **36**: This is not equivalent to \(6^{-2}\).
2. **1/36**: This is equivalent to \(6^{-2}\).
3. **1/12**: This is not equivalent to \(6^{-2}\).
4. **1/6^2**: This is also equivalent to \(6^{-2}\) (since \(6^{-2} = \frac{1}{6^2}\)).
Therefore, the answers that are equivalent to \(6^{-2}\) are:
- \( \frac{1}{36} \)
- \( \frac{1}{6^2} \)
\[
6^{-2} = \frac{1}{6^2} = \frac{1}{36}
\]
Now, let's analyze the options:
1. **36**: This is not equivalent to \(6^{-2}\).
2. **1/36**: This is equivalent to \(6^{-2}\).
3. **1/12**: This is not equivalent to \(6^{-2}\).
4. **1/6^2**: This is also equivalent to \(6^{-2}\) (since \(6^{-2} = \frac{1}{6^2}\)).
Therefore, the answers that are equivalent to \(6^{-2}\) are:
- \( \frac{1}{36} \)
- \( \frac{1}{6^2} \)