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comparati numerele 5 la puterea 20 si 3 la puterea 30


Răspuns :

5²⁰ si 3³⁰ 

5²⁰ = ( 5²)¹⁰ = 25¹⁰
3³⁰ = ( 3³)¹⁰ = 27¹⁰

25¹⁰ <  27¹⁰
↓           ↓
5²⁰   <   3³⁰ 

[tex]5^{20} = (5^{2})^{10} = {25}^{10} \\ \\ {3}^{30} = (3^{3})^{10} = {27}^{10} \\ \\ {25}^{10} < {27}^{10} = > {5}^{20} < {3}^{30} [/tex]