When applying the Property of Negative Integer Exponents to solve 9^−2

Question

, which of the following is the correct answer?(1 point)
Responses

1/2^9
the fraction with numerator 1 and denominator 2 to the 9th power

81

1/9^−2
the fraction with numerator 1 and denominator 9 to the negative 2 power

1/81
1 over 81

Answer 1

To solve \( 9^{-2} \) using the Property of Negative Integer Exponents, we can rewrite it as follows:

\[ 9^{-2} = \frac{1}{9^{2}} \]

Calculating \( 9^2 \), we get:

\[ 9^2 = 81 \]

Thus:

\[ 9^{-2} = \frac{1}{81} \]

Therefore, the correct answer is:

1/81 (1 over 81).