Write 16 × 8^(2x) as a power of 2 in terms of x

Aim: Our answer should be written in the form 2^a+bx where a and b are constants that we are trying to find.
Firstly, we can write 16 in terms of a power of 2: 16 = 4² = 4 x 4 = (2 x 2) x (2 x 2) = 2⁴
Similarly, 8 can be written as a power of 2: 8 = 2 x 4 = 2 x 2 x 2 = 2³
Putting this together, we get: 16 x 8^2x = 2⁴ x (2³)^2x
Using rules of indices: (2³)^2x = 2^{3 x 2x} = 2^6x
Hence, 16 × 8^2x = 2⁴ x 2^6x = 2^4+6x