Answer :
We start with the function
[tex]$$
f(x) = \frac{1}{7} \cdot 7^x.
$$[/tex]
Substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = \frac{1}{7} \cdot 7^3.
$$[/tex]
Calculate [tex]$7^3$[/tex]:
[tex]$$
7^3 = 343.
$$[/tex]
Then substitute this value back into the function:
[tex]$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7}.
$$[/tex]
Divide [tex]$343$[/tex] by [tex]$7$[/tex]:
[tex]$$
\frac{343}{7} = 49.
$$[/tex]
Thus, the final answer is [tex]$\boxed{49}$[/tex].
[tex]$$
f(x) = \frac{1}{7} \cdot 7^x.
$$[/tex]
Substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = \frac{1}{7} \cdot 7^3.
$$[/tex]
Calculate [tex]$7^3$[/tex]:
[tex]$$
7^3 = 343.
$$[/tex]
Then substitute this value back into the function:
[tex]$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7}.
$$[/tex]
Divide [tex]$343$[/tex] by [tex]$7$[/tex]:
[tex]$$
\frac{343}{7} = 49.
$$[/tex]
Thus, the final answer is [tex]$\boxed{49}$[/tex].
