Answer :
We are given the function
$$
f(x)=\frac{1}{7}\cdot 7^x.
$$
To find $f(3)$, substitute $x=3$ into the function:
$$
f(3)=\frac{1}{7}\cdot 7^3.
$$
First, calculate $7^3$:
$$
7^3 = 7\times7\times7 = 343.
$$
Now, substitute this back into the function:
$$
f(3)=\frac{1}{7}\cdot 343 = \frac{343}{7}.
$$
Divide $343$ by $7$:
$$
\frac{343}{7} = 49.
$$
Thus, the value of $f(3)$ is $49$.
$$
f(x)=\frac{1}{7}\cdot 7^x.
$$
To find $f(3)$, substitute $x=3$ into the function:
$$
f(3)=\frac{1}{7}\cdot 7^3.
$$
First, calculate $7^3$:
$$
7^3 = 7\times7\times7 = 343.
$$
Now, substitute this back into the function:
$$
f(3)=\frac{1}{7}\cdot 343 = \frac{343}{7}.
$$
Divide $343$ by $7$:
$$
\frac{343}{7} = 49.
$$
Thus, the value of $f(3)$ is $49$.