Respuesta :

The answer is A, [tex] \frac{1}{81} [/tex]. This is because when plugging in -2 for x, the expression will look like this: [tex] 9^{-2} [/tex]. To make the exponent positive, you have to flip it into a fraction. Then it will be [tex] \frac{1}{9^2} [/tex]. Lastly, you simplify the denominator into 81.
Hi!

Let's put the value of x into the equation.

f(-2) = [tex] 9^{-2} [/tex]
solve
f(-2) = 0.012345679

Now let's see if this is equal to any of the answers.

1/81 = 0.012345679 correct
81 = 0.012345679 wrong
1/18 = 0.012345679 wrong
18 = 0.012345679 wrong

The answer is A. 1/81 

Hope this helps! :)