This is a short exercise that may be completed as a class or in group work. I have not seen any problems like this and the concepts involved are important:

Suppose we have a function f(x) = 7^(2x + 3)

Using the properties of exponents, we can re-write this as f(x) = 7^2x × 7^3

Using the properties of exponents, we can re-write this as f(x) = (7^2)^x × 7^3

We can simplify further to f(x) = 49^x × 343

Questions also work the reverse way.