simplify solutions

Question

 

assuming the solution is undefined, simplify

 

 

a^2m b^m+1                  I have the answer as    2^m+1,  is this correct?

      a^m b

 

 

 

write in simplest form without negative exponents. Leave answer in simplified fraction.

 

 

 (2/3)^-2   (4/5)^-1           I have the answer as  45/16, is this correct?

Answer 1

The first problem can be done in two parts the firs part is a^2m/a^m= a^2m-m =a^m (keep the base "a" and add the exponents). The second part is b^(m+1)/b= b^m+1-1=b^m Putting the two parts together gives a^mb^m  as the answer. Your answer is not correct.

 

The second answer 45/16 is correct.

 

Jim