Question

What is Select all answers that are equivalent to 6^−2
(2 points)
Responses

36
36

136
1 over 36

112
1 over 12

1/6^2

Answer 1

To solve for \(6^{-2}\), we can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). Thus:

\[
6^{-2} = \frac{1}{6^2} = \frac{1}{36}
\]

Now let's analyze the given options:

- **36**: Not equivalent.
- **1 over 36**: Equivalent, since \(6^{-2} = \frac{1}{36}\).
- **1 over 12**: Not equivalent.
- **1/6^2**: Equivalent, since \(1/6^2\) is the same as \(\frac{1}{36}\).

So, the correct answers that are equivalent to \(6^{-2}\) are:

- **1 over 36**
- **1/6^2**