Question

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

Answer 1

6(1/16)^x.

Explanation:

(1/4)^2 = 1/16

so it could be

6(1/16)^x.

Answer 2

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

Explanation:

The given function is
`f(x)=6((1)/(4))^(2x)`

The exponent property:

`(x)^(ab)=(x^a)^b`

Using this property, we can rewrite this function as

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

Now, we can further simplify this expression as

`f(x)=6((1)/(4^2))^(x)\\\\f(x)=6((1)/(16))^x`

Hence, third option is correct.