Question

Simplify the expression. Assume all variables are positive. (r/32s)^8/5

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

$(\frac{r}{32s} )^{\frac{8}{5} }$

It could be written as

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }$

32 could be written as $2^{5}$

So, replacing that in our expression

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }$

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }$

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}$

$\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }$

This is the simplified form of given expression.  :  Answer

Hope it will help :)