Question

comparati nr.2laputrea30si3la putrea20;10la putrea74si6laputtea123.;5laputrea34si3la putrea51.;2 la putres155si 3la putrea93.

Answer 1

Răspuns

Explicație pas cu pas:

2³⁰ = ( 2³ )¹⁰ = 8¹⁰

3²⁰ = ( 3² )¹⁰ = 9¹⁰

==>   8¹⁰ < 9¹⁰ ==>  2³⁰  < 3²⁰

________________________

10⁷⁴  si  6¹²³

10⁷⁴ = ( 10² )³⁷ = 100³⁷

6¹²³ = ( 6³ )⁴¹ = 216⁴¹

==>   100³⁷ <  216⁴¹, deoarece 100 < 216, dar si 37 < 41

==>   10⁷⁴ < 6¹²³

____________________________________

5³⁴ si 3⁵¹

5³⁴ = ( 5² )¹⁷ = 25¹⁷

3⁵¹ = ( 3³ )¹⁷ = 27¹⁷

==>  25¹⁷ < 27¹⁷ ===>   5³⁴ < 3⁵¹

_________________________

2¹⁵⁵ si 3⁹³

2¹⁵⁵ = ( 2⁵ )³¹ = 32³¹

3⁹³ = ( 3³ ) ³¹ = 27³¹

==>  32³¹ >  27³¹;  32 > 27  ==>  2¹⁵⁵ >  3⁹³

       25³⁷ < 2⁴⁹ x 9³⁷