Question

Determina nr natural n care verifica egalitatea:​

Answer 1

Răspuns:

$1^n + n\cdot [(3^5)^2-3^{12}:3^9\cdot 3^7] = 1 + n\cdot (3^{5\cdot 2}-3^{12-9+7})= 1 + n\cdot (3^{10}-3^{10})=1+n\cdot 0 = 1 =2^0$

deci orice numar natural n verifica egalitatea data!