Question

comparati nr: 5 la puterea 15 si 2 la puterea 35; 11 la puterea 14 si 5 la puterea 21; 2 la puterea 51 si 3 l;a puterea 34; 5 la puterea 20 si 3 la puterea 30; 2 la puterea 49 si 5 la puterea 21; 2 la puterea 63 si 11 la puterea 18; Repede va rooooooooooog! DAU CORONITA!

Answer 1

Răspuns

Explicație pas cu pas:

5¹⁵  = ( 5³ )⁵ = 125⁵

2³⁵ = ( 2⁷)⁵ = 128⁵

=>    125⁵ < 128⁵ ( 125 < 128 ) ==>    5¹⁵ < 2³⁵

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11¹⁴ = ( 11² )⁷ = 121⁷

5²¹ = ( 5³ )⁷ = 125⁷

=>    121⁷  <  125⁷  ( 121 < 125) ==>   11¹⁴ < 5²¹

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2⁵¹ = ( 2³ )¹⁷ = 8¹⁷

3³⁴ = ( 3² )¹⁷ = 9¹⁷

=>  8¹⁷ < 9¹⁷;    ( 8 < 9 ) ==>   2⁵¹ <  3³⁴

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5²⁰ = ( 5² )¹⁰ = 25¹⁰

3³⁰ = ( 3³)¹⁰ = 27¹⁰

=>  25¹⁰ < 27¹⁰;    ( 25 < 27 ) ==>   5²⁰ < 3³⁰

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2⁴⁹ = ( 2⁷ )⁷ = 128⁷

5²¹ = ( 5³ )⁷ = 125⁷

=>   128⁷  >   125⁷;     ( 128 > 125) ==>   2⁴⁹ > 5²¹

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2⁶³ = ( 2⁷)⁹ = 128⁹

11¹⁸ = ( 11² )⁹ = 121⁹

=>  128⁹  >  121⁹   ==>   2⁶³ > 11¹⁸