Respuesta :

RedRicin
[tex]f(x)=4(7)^{2x}[/tex]

Let's look at the way each of these attempts to simplify our expression.

Answer A simply mulltiplies the 4 and the 7 to get 28. This is the correct answer.

The reason you can't just do squaring (to the power of 2) and then go to the power of x later is because you would write that as [tex]n^{2^x}[/tex], not [tex]n^{2x}[/tex].

Answer:

Option: B is correct. ([tex]f(x)=4\times (49)^x[/tex])

Step-by-step explanation:

We are asked to find which expression is equivalent to the mathematical expression:

[tex]f(x)=4(7)^{2x}[/tex]

We know that any expression of the kind [tex]a^{mn}[/tex] could also be represented as [tex](a^m)^n[/tex]

Hence on converting the given expression using the above representation we have:

[tex]f(x)=4\times (7)^{2x}=4\times (7^2)^x=4\times (49)^x[/tex]

Hence f(x) could also be written as:

[tex]f(x)=4\times (49)^x[/tex]

Hence, option B is correct.


Otras preguntas