Question

Rewrite the function f(x)=6(1/4)^2x using properties of exponents

Answer 1

Answer:

6(1/16)^x.

Step-by-step explanation:

(1/4)^2 = 1/16

so it could be

6(1/16)^x.

Answer 2

Answer:

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

Step-by-step explanation:

The given function is $f(x)=6(\frac{1}{4})^{2x}$

The exponent property:

$(x)^{ab}=(x^a)^b$

Using this property, we can rewrite this function as

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

Now, we can further simplify this expression as

$f(x)=6(\frac{1}{4^2})^{x}\\\\f(x)=6(\frac{1}{16})^x$

Hence, third option is correct.