Question

Simplify the following expression.


(3^2)^−2









(1 point)
Responses

11
1 over 1

81
81

1
1

181

Answers

Answered by GPT-4o mini
To simplify the expression \((3^2)^{-2}\), we can follow these steps:

1. Evaluate the inner exponent:
\[
3^2 = 9
\]

2. Now rewrite the expression with the evaluated value:
\[
(9)^{-2}
\]

3. This can be rewritten as:
\[
\frac{1}{9^2}
\]

4. Now calculate \(9^2\):
\[
9^2 = 81
\]

5. So, we have:
\[
(3^2)^{-2} = \frac{1}{81}
\]

Thus, the simplified expression is:
\[
\frac{1}{81}
\]

Since the options provided don't directly mention \(\frac{1}{81}\), if "1 over 81" is intended, that would be the correct response.
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