Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents. f of x equals 4 times one ninth to the x power f of x equals 4 times two sixths to the x power f of x equals 16 times one third to the x power f of x equals 16 times one ninth to the x power

Respuesta :

Answer:

A

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e. [tex]f(x)=4\times (\frac{1}{3})^{2x}[/tex]

Solve the expression,

[tex]f(x)=4\times (\frac{1}{3}^2)^{x}[/tex]

[tex]f(x)=4\times (\frac{1}{9})^{x}[/tex]

i.e. f of x equals 4 times one ninth to the x power.

Therefore, Option 1 is correct.