Răspuns:
Explicație pas cu pas:
a = 8³³⁰•(8⁶⁷⁰ - 128²⁸⁷)•2
a = (2³)³³⁰•[(2³)⁶⁷⁰-(2⁷)²⁸⁷]•2
a = (2³ˣ³³⁰)•(2³ˣ⁶⁷⁰-2⁷ˣ²⁸⁷)•2
a = 2⁹⁹⁰•(2²⁰¹⁰-2²⁰⁰⁹)•2
a = 2⁹⁹⁰⁺¹•2²⁰⁰⁹•(2-1) = 2⁹⁹¹•2²⁰⁰⁹•1
a = 2⁹⁹¹⁺²⁰⁰⁹ = 2³⁰⁰⁰
b = 27•[9⁵⁰¹-81²⁵⁰):(3²-3⁰)]
b = 3³•{[(3²)⁵⁰¹-(3⁴)²⁵⁰]:(9-1)}
b = 3³•{[3²ˣ⁵⁰¹-3⁴ˣ²⁵⁰] :8}
b = 3³•[(3¹⁰⁰²-3¹⁰⁰⁰)]:8]
b = 3³•[3¹⁰⁰⁰•(3²-3⁰) :8]
b = 3³•(3¹⁰⁰⁰•8:8)
b = 3³•3¹⁰⁰⁰
b = 3³⁺¹⁰⁰⁰ = 3¹⁰⁰³
2³⁰⁰⁰ = (2³)¹⁰⁰⁰ = 8¹⁰⁰⁰
3¹⁰⁰³ = 3³•3¹⁰⁰⁰ = 27•3¹⁰⁰⁰
8¹⁰⁰⁰ > 27•3¹⁰⁰⁰ => a > b
