Question

Which function has a simplified base of 4^3√4?

Answer 1

Answer:

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$.

Step-by-step explanation:

We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).

Now, the exponential function in the option III will be the answer.

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$.

So, the base is $(\sqrt[3]{16} )^{2}$ = $\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}$. (Answer)

The general formula of an exponential function is $f(x) = a(b)^{x}$ , where b is called the base of the function.