Question

Rewrite the function f of x equals 6 times one fourth to the 2 times x power using properties of exponents.

f of x equals 36 times one fourth to the x power
f of x equals 36 times one sixteenth to the x power
f of x equals 6 times one sixteenth to the x power
f of x equals 6 times two eighths to the x power

Answer 1

Answer: C

options:

Rewrite the function f of x equals 6 times one fourth to the 2 times x power using properties of exponents.

f of x equals 36 times one fourth to the x power

f of x equals 36 times one sixteenth to the x power

f of x equals 6 times one sixteenth to the x power

f of x equals 6 times two eighths to the x power

Answer 2

C.f of x equals 6 times one sixteenth to the power x

Explanation:

We are given that a function f of x equals 6 times one fourth to the 2 times x power.

We have to rewrite the function.

`f(x)=6((1)/(4))^(2x)`

`f(x)=6(((1)/(4))^2)^x`

`f(x)=6((1)/(16))^x`

Because
`(a^b)^c=a^(bc)`

Therefore, f of x equals 6 times one sixteenth to the x power.

Answer:C.f of x equals 6 times one sixteenth to the power x