Not-so-kangaroo onesie survival stunting, dubbed in english. (Links: Western Australia, the Murray-Darling

Not-so-kangaroo onesie survival stunting, dubbed in english. (Links: Western Australia, the Murray-Darling





 
 
 
 
 
 
 

Five Hot Stories For Her Subtitles English

English subtitles
Download English Subtitles (SRT) for Five Hot Stories For Her (1999) in (3 to 4 languages).
Download Five Hot Stories For Her (1999) SRT (Subtitle ripper) for free .
Download English Subtitles of Five Hot Stories For Her

Storyline
The story of five women’s lives interwoven with festivities, romance, and entertainment.

References

Category:1999 films
Category:Korean filmsQ:

Is this correct proof for $\varphi(x)\mid x^p-1$?

I have to proof $\varphi(x)\mid x^p-1$ for $p$ a prime number. So the idea is to use Euler’s formula:
$$x^p=x\cdot x^{\frac{p}{2}}\cdot\ldots\cdot x^{\frac{p\left(\frac{p}{2}-1\right)}{p}}=x\cdot x^{\frac{p^2-p}{2}}\cdot\ldots\cdot x^{p\left(\frac{\left(p-1\right)}{2}\right)}=x^{\frac{p^2-p}{2}}\cdot\ldots\cdot x^{\frac{p\left(p-1\right)}{2}}\cdot x^{\frac{p^2+p}{2}} $$
So I have: $$x^p-1=(x^{\frac{p^2-p}{2}}\cdot\ldots\cdot x^{\frac{p\left(p-1\right)}{2}})\cdot(x^{\frac{p^2+p}{2}}-1)$$
By Euler’s formula we have that $\phi(x)$ divides $x^{\frac{p^2-p}{2}}\cdot\ldots\cdot x^{\frac{p\left(p-1\right)}{2}}$
And $\phi(x)$ divides $\left(x^{\frac{p^2+p}{2}}-1\right)$
And so we have our result. Is this a correct proof?

A:

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