a) orice numar ridicat la puterea 0 este 1
deci 78⁰=87⁰ deci 1=1
b) 5²⁴ si 25¹⁰ dar 25=5² deci 25¹⁰=5²ˣ¹⁰=5²⁰
5²⁴>5²⁰
c) 11³³=11¹¹⁺²² si 33¹¹=3¹¹×11¹¹
[11²² × 11¹¹ ] > [3¹¹×11¹¹]
11²²>3¹¹ deoarece 11>3 si 22>11
d)
36¹²⁵=(9×4)¹²⁵=(3²×2²)¹²⁵=3²⁵⁰×2²⁵⁰
6⁵⁴=(2×3)⁵⁴=2⁵⁴×3⁵⁴
[3²⁵⁰×2²⁵⁰]>[2⁵⁴×3⁵⁴]
e)(3²)³=3²ˣ3=3⁶
(3²)⁴=3²ˣ4=3⁸
(3²)³<(3²)⁴