Question

Simplificando a expressão 2. (3⁶ + 3⁵)
(3⁴ - 3³) encontramos

Answer 1

Resposta:

2. (3⁶ + 3⁵) .(3⁴ - 3³) =104.976

Explicação passo-a-passo:

$\displaystyle 2(3^6+3^5)(3^4-3^3)=2(3^6.3^4-3^6.3^3+3^5.3^4-3^5.3^3)=2(3^{6+4}-3^{6+3}+3^{5+4}-3^{5+3})=2(3^{10}-3^9+3^9-3^8)=2(3^{10}-3^8)=2.(3^{8+2}-3^8)=2.(3^8.3^2-3^8)=2.3^8.(3^2-1)=2.3^8.(9-1)=2.3^8.8=16.3^8=16.6561=104.976$