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Arătați ca 3 la puterea 2015+4 la puterea 2015< 5 la puterea 2015

Răspuns :

3²⁰¹⁵+4²⁰¹⁵<5²⁰¹⁵
3⁵⁰³*⁴⁺³ + 4⁵⁰³*⁴⁺³<5⁵⁰³*⁴⁺³
3⁵⁰³*⁴+3³+4⁵⁰³*⁴+4³<5⁵⁰³*⁴+5³
((3⁴)⁵⁰³)*27+((4⁴)⁵⁰³)*64<((5⁴)⁵⁰³)*125
((81)⁵⁰³)*27+((256)⁵⁰³)*64<((625)⁵⁰³)*125
 81*27+256*64<625*125
2187+16384<78125
18571<78125