Question

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

Answer 1

Explanation:

Alright, lets get started.

The given expression is :

`((r)/(32s) )^{(8)/(5) }`

It could be written as

`((r)/(s) )^{(8)/(5) }*((1)/(32) )^{(8)/(5) }`

32 could be written as
`2^(5)`

So, replacing that in our expression

`((r)/(s) )^{(8)/(5) }*((1)/(2^(5) ) )^{(8)/(5) }`

`((r)/(s) )^{(8)/(5) }*((1)/(2) )^{5*(8)/(5) }`

`((r)/(s) )^{(8)/(5) }*((1)/(2) )^(8)`

`(1)/(256)*((r)/(s) )^{(8)/(5) }`

This is the simplified form of given expression. : Answer

Hope it will help :)