Rewrite the function f of x equals 7 times one half to the 3 times x power using the properties of exponents. f of x equals 7 times three sixths to the x power f of x equals 7 times one eighth to the x power f of x equals 21 times three sixths to the x power f of x equals 343 times one eighth to the x power
Accepted Solution
A:
Answer:f of x equals 7 times one eighth to the x powerStep-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