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

Answer:

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

Step-by-step 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.

$f(x)=6(\frac{1}{4})^{2x}$

$f(x)=6((\frac{1}{4})^2)^x$

$f(x)=6(\frac{1}{16})^x$

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