Which of the following is equivalent to 6−2?(1 point)

Question

Responses

136
Start Fraction 1 over 36 End Fraction

36
36

16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction

126

Answer 1

To find which of the given options is equivalent to \(6^{-2}\), we can evaluate \(6^{-2}\) first:

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

Now, we can check the options:

1. \( \frac{1}{36} \) - This is equivalent to \(6^{-2}\).
2. \(36\) - This is not equivalent.
3. \(16^{-2}\) - This is not equivalent.
4. \( \frac{1}{6^{-2}} \) - This is not equivalent.
5. \(126\) - This is not equivalent.

Thus, the correct response is:

\(\frac{1}{36}\)