The power%C2%A092 %C2%A0is equivalent to%C2%A081 . What is the value of%C2%A09−2 ?(1 point) Responses −81 negative 81 −9 negative 9 19 1 ninth 181 1 over 81

Answer 1

To solve the problem, let's first clarify the equation you presented: \( 9^{-2} \).

The expression \( 9^{-2} \) can be rewritten using the property of negative exponents:

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

Next, calculate \( 9^2 \):

\[ 9^2 = 81 \]

Now, substitute this back into the equation:

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

Thus, the value of \( 9^{-2} \) is \( \frac{1}{81} \).

From the options presented:

• \( -81 \)
• \( -9 \)
• \( \frac{1}{9} \)
• \( \frac{1}{81} \)

The correct answer is \( \frac{1}{81} \).