Answer:
f of x equals 7 times one eighth to the x power
Step-by-step explanation:
Given phrase,
function f of x equals 7 times one half to the 3 times x power,
[tex]\implies f(x) = 7(\frac{1}{2})^{3x}[/tex]
By the power to power property of exponent,
That is,
[tex](a^m)^n=a^{m.n}[/tex]
[tex]f(x) = 7((\frac{1}{2})^3)^x[/tex]
[tex]f(x) = 7(\frac{1}{8})^x[/tex]
= f of x equals 7 times one eighth to the x power
