Question

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

Answer 1

Given -

`\frac{3.2^(x+1)\text{ - 2.4}^x}{3.2^x\text{ - 2}^(2x)}`

To Find -

Simplification =?

Step-by-Step Explanation -

`\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}`

Final Answer -

= 2