Hello!
The answer is:
![f(3)=((1)/(216))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aid1mek7lxuq4ujdebf4i5uhk0mwvj7ldm.png)
Why?
To find the required function f(3), we need to use the given function f(x) and evaluate "x" equal to 3 (input).
We are given the function:
![f(x)=((1)/(6))^(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4xognahy68brr2iaaxf5d5homtvph15826.png)
Then, evaluating "x" equal to 3, we have:
![f(3)=((1)/(6))^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uirevlz8h8stschkbokr9egktq2bdjfpd5.png)
![f(3)=((1)/(6))^(3)=((1)/(6))*((1)/(6))*((1)/(6))=((1)/(6*6*6))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cjk5dbg747dj4z6w37m7qf3x7i3xq4fisr.png)
![f(3)=((1)/(6*6*6))=((1)/(216))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z9y1lre7nyclvrecb0lmgtjafof67sade0.png)
Hence, we have that the answer is:
![f(3)=((1)/(216))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aid1mek7lxuq4ujdebf4i5uhk0mwvj7ldm.png)
Have a nice day!