Răspuns:
a)2⁵¹²-2⁵¹⁰=5⁵¹²‐⁵¹⁰=2²=4
4<3³⁴¹
b)3³³-3³²-3³⁰=3³³‐³²‐³⁰=3‐²⁹
2⁵⁴+2⁵⁰=2⁵⁴+⁵⁰=2¹⁰⁴
3‐²⁹<2¹⁰⁴
c) 3²n+¹-9n=3²n+¹‐3²n
dam factor comun de 3²n:
=3²n×(3‐1)
=3²n×2
=9n×2
2³n+¹-8n=2³n+¹-2³n
dam factor comun pe 2³n:
=2³n×(2‐1)
=2³n×1
=2³n
=8n
9n×2>8n