Question

Find a equivalent function to f(x)=4(7)^2x

Answer 1

$f(x)=4(7)^{2x}$

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 $n^{2^x}$, not $n^{2x}$.

Answer 2

Answer:

Option: B is correct. ($f(x)=4\times (49)^x$)

Step-by-step explanation:

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

$f(x)=4(7)^{2x}$

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

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

$f(x)=4\times (7)^{2x}=4\times (7^2)^x=4\times (49)^x$

Hence f(x) could also be written as:

$f(x)=4\times (49)^x$

Hence, option B is correct.