simplify solutions

Question

assuming that none of this solution is underfined, please simplify.

 

a^2^m b ^m^+^1

          a^mb

 

 

 

thanks

Answer 1

(a^2^m b^m^+1)/(a^m b) =

 

Use left to right rule from PEMDAS:

 

((a^2)^m (b^m)^1)/(a^m b) =

 

a^(2m – m) b^(m – 1) =

 

a^m b^(m – 1)

Answer 2

 a^(2m) b ^ ( m+1) / a^m b = a ^( 2m -m) b ^ ( m+1 -1)=

                                           

                                            = a ^m. b ^m