# Simplifying this equation

1. Oct 30, 2007

### lazypast

$$w=\frac{k}{1-n}(v^{1-n}_{2}-v^{1-n}_{1})$$

let $$k=pv^n$$

$$\frac {p_{2}v^{n}_{2}v^{1-n}_{2} - p_{1}v^{n}_{1}v^{1-n}_{1}}{1-n}$$

how can this become

$$w=\frac {p_{1}v_{1} - p_{2}v_{2}}{n-1}$$

thanks

2. Oct 30, 2007

### Evalesco

Hi lazypast,
Im not too sure how you got from the top equation to the middle equation but I'll assume it's all good.
You just need to use the indicie law $$a^{b}a^{c} = a^{(b+c)}$$
And then multiply through but a suitable form of 1, I reccomend $$\frac{-1}{-1}$$