Question

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

136
Start Fraction 1 over 36 End Fraction

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

126
Start Fraction 1 over 2 superscript 6 baseline End Fraction

36

Answer 1

To simplify the expression \( 6^{-2} \), we can use the rule that \( a^{-n} = \frac{1}{a^n} \). Thus:

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

Now, let's look at the provided options:

1. \( \frac{1}{36} \)
2. \( \frac{1}{6^{-2}} \) (which is \( 6^2 = 36 \))
3. \( \frac{1}{2^6} \)
4. \( 36 \)

The equivalent expression to \( 6^{-2} \) is:

**Response 1:** \( \frac{1}{36} \)