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 :)