Need help with a past paper worksheet. I need a lot of explanations as some of this work I’ve never done before.

Given -
[tex]\frac{3.2^{x+1}\text{ - 2.4}^x}{3.2^x\text{ - 2}^{2x}}[/tex]To Find -
Simplification =?
Step-by-Step Explanation -
[tex]\begin{gathered} =\text{ }\frac{3.2^{x+1}\text{ - 2.4}^x}{3.2^x\text{ - 2}^{2x}} \\ \\ =\text{ }\frac{3.2.2^x\text{ - 2.2}^{2x}}{3.2^x\text{ - 2}^{2x}} \\ \\ =\text{ 2\lparen}\frac{3.2^x\text{ - 2}^{2x}}{3.2^x\text{ - 2}^{2x}}\text{\rparen} \\ \\ =\text{ 2} \end{gathered}[/tex]Final Answer -
= 2