Questions: Write this expression with a positive exponent and then simplify. 9^(-2) =

Solution Steps

To rewrite the expression with a positive exponent, we use the property of exponents that states $a^{-n} = \frac{1}{a^n}$. Therefore, $9^{-2}$ can be rewritten as $\frac{1}{9^2}$. Then, we simplify by calculating $9^2$.

We start with the expression $9^{-2}$. To express this with a positive exponent, we use the property of exponents:

$$9^{-2} = \frac{1}{9^2}$$

Next, we calculate $9^2$:

$$9^2 = 81$$

Now, substituting back into our expression, we have:

$$9^{-2} = \frac{1}{81}$$

Final Answer