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

Question

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

181
Start Fraction 1 over 81 End Fraction

19−2
Start Fraction 1 over 9 superscript negative 2 baseline End Fraction

129
Start Fraction 1 over 2 superscript 9 baseline End Fraction

81

Answer 1

The Property of Negative Integer Exponents states that \( a^{-n} = \frac{1}{a^n} \).

Using this property for \( 9^{-2} \), we can write:

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

Calculating \( 9^2 \):

\[ 9^2 = 81 \]

Thus,

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

So, the correct answer is:

Start Fraction 1 over 81 End Fraction.