Why is r5s3t4 = (rt)4rs3?

Question

Why is r⁵s³t⁴ = (rt)⁴rs^3? And what is this function called? 

Answer 1

(r^5)(s^3)(t^4)=(rt)^4*r*(s^3)

                          (rt)^4=(r^4)(t^4)

                        =(r^4)(t^4)*r*(s^3)

                          (r^4)(r)=(r^4)(r^1)=(r^5)

                        = (r^5)(t^4)(s^3) 

                        = (r^5)(s^3)(t^4) 

Answer 2

r⁴t⁴=(rt)⁴  . That's one of the properties of exponents

 

So,

 

r⁵s³t⁴ can be arranged as (r * r⁴ * t⁴ * s³)

 

then as (r * (rt)⁴ * s³)

 

finally, into (rt)⁴rs³

 

I don't believe your function has a name