I am to express the following using a positive exponent. Then I have to simplify the expression. Do not evaluate.

9^-2.
Here is my answer:
9^-2=1/81.
Is this correct?
Thanks.

yes

Yes, your answer is correct. To express 9^-2 using a positive exponent, you can rewrite it as the reciprocal of 9^2. When a number is raised to a negative exponent, it means you take the reciprocal of the number raised to the corresponding positive exponent.

So, 9^-2 can be expressed as 1/(9^2).

To simplify the expression, you can evaluate 9^2, which is equal to 81.

Therefore, 9^-2 simplifies to 1/81.