Question

Simplificar a expressão a seguir

[(a^m)^n]^-2/a^2n.(a^m+1)^-2

sendo (a=/=0)

Answer 1

[(a^m)^n]-² : a^2n.(a^m+1)-² 

[a^mn]-² : a^2n.1/(a^m+1)² 

1/(a^mn)² : a^2n/(a^m)² + 2.a^m.1 + 1² 

1/a^2mn : a^2n/a^2m+2a^m+1 

1/a^2mn . a^2m+2a^m+1/a^2n

a^2m+2a^m+1/a^2mn.a^2n  = a^2m+a^m+1/a^(2mn+2n)          ok