Answer:
[tex] 3^{-2} = \dfrac{1}{9} [/tex]
Step-by-step explanation:
Definition of negative exponent:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
In our case, a = 3 and -n = -2.
[tex] 3^{-2} = \dfrac{1}{3^2} [/tex]
Now we just evaluate the power in the denominator.
[tex] 3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9} [/tex]