For this case we have that by definition of power properties it is fulfilled that:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
We must rewrite the following function:
[tex]f (x) = 7 (\frac {1} {2})^{3x}}[/tex]
Using the mentioned property we have:
[tex]f (x) = 7 ((\frac {1} {2}) ^ 3) ^ x[/tex]
Solving the operation within the parenthesis we have:
[tex]f (x) = 7 (\frac {1 ^ 3} {2 ^ 3}) ^{ x}\\f (x) = 7 (\frac {1} {8})^{x}[/tex]
Thus, the correct option is option B
ANswer:
Option B
