Respuesta :

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

[tex](\frac{r}{32s} )^{\frac{8}{5} }[/tex]

It could be written as

[tex](\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }[/tex]

32 could be written as [tex]2^{5}[/tex]

So, replacing that in our expression

[tex](\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }[/tex]

[tex](\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }[/tex]

[tex](\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}[/tex]

[tex]\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }[/tex]

This is the simplified form of given expression.  :  Answer

Hope it will help :)