Question

compara numerele 2•2la puterea 2•2 la puterea 3•....•2la puterea 10 si 3 la puterea 44

Answer 1

2×2^2×2^3×....... ×2^10=2^(1+2+3+..+10)=2^(10×11:2)=2^55=(2^5)^11=32^11

3^44=(3^4)^11=81^11

32^11<81^11