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

Question

Responses

1/36
Start Fraction 1 over 36 End Fraction

1/2^6
Start Fraction 1 over 2 superscript 6 baseline End Fraction

36
36

1/6^−2

Answer 1

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

So, \( 6^{-2} = \frac{1}{6^2} \).

Calculating \( 6^2 \):

\[ 6^2 = 36 \]

Therefore,

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

Among the options you provided, the equivalent expression is:

1/36 (or \( \frac{1}{36} \)).