Which of the following is equivalent to 6−superscript2

Question

?(1 point)
Responses

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
36

1/36

Answer 1

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

Thus,

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

So the equivalent expression for \( 6^{-2} \) is:

\[ \frac{1}{36} \]

The correct response is \( \frac{1}{36} \).