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comparati puterile 2la puterea302 si 3 la puterea203

Răspuns :

2³⁰² = 2³⁰⁰ x 2² = ( 2³ ) ¹⁰⁰ x 4 = 8¹⁰⁰ x 4

3²⁰³ = 3²⁰⁰ x 3³ = ( 3² ) ¹⁰⁰ x 27 = 9¹⁰⁰ x 27

==>  8¹⁰⁰x 4  <   9¹⁰⁰ x 27;   8¹⁰⁰ < 9¹⁰⁰,  4 < 27 ==> 2³⁰² <  3²⁰³