To evaluate \( 6^{-2} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \).
So,
\[ 6^{-2} = \frac{1}{6^2} \]
Calculating \( 6^2 \):
\[ 6^2 = 36 \]
Therefore:
\[ 6^{-2} = \frac{1}{36} \]
Now let's look at the provided options. The equivalent expression to \( 6^{-2} \) is:
\[ \frac{1}{6^2} = \frac{1}{36} \]
From the responses you provided, none of them exactly match \( \frac{1}{36} \) as an option. However, if the option is phrased differently, it might be a representation of the same value.
- \( 36 \)
- \( 16^{-2} \)
- \( \frac{1}{6^{-2}} \)
- \( \frac{1}{2^{6}} \)
- \( 136 \)
If the option "Start Fraction 1 over 6 superscript negative 2 baseline End Fraction" was intended to be \( \frac{1}{6^{-2}} \), it is incorrect as it would equal \( 6^2 = 36 \).
Thus, the closest equivalent expression is \( \frac{1}{36} \), which correlates with \( 6^{-2} \).
Please clarify if you've meant any particular expression so I can help further!