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

Question

Responses

36
36

1/36
Start Fraction 1 over 36 End Fraction

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

1/2^6

Answer 1

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

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

Calculating \( 6^2 \): \[ 6^2 = 36 \]

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

Therefore, the equivalent expression to \( 6^{-2} \) is:

1/36.