Respuesta :

3^ -2 = 1/3^2=1/9. in general a^-x = 1/a^x

Answer: The simplified form is [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Since we have given that

[tex]3^{-2}[/tex]

As we know the  "Exponential law":

[tex]a^{-1}=\frac{1}{a^m}[/tex]

So, it becomes

[tex]3^{-2}=\frac{1}{3^2}[/tex]

Now, at last it becomes,

[tex]3^{-2}=\frac{1}{3\times 3}=\frac{1}{9}[/tex]

Hence, the simplified form is [tex]\frac{1}{9}[/tex]

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