Question

a=2 la putererea 29 plus 2 la puterea 40 impartit la 2 la puterea 11 b= 12 la puterea 20 impartit la 2 la puterea 40 a) aratati ca a=2 la puterea 30b) comparati numerele

Answer 1

a = 2²⁹ + 2⁴⁰ : 2¹¹

a = 2²⁹ + 2²⁹

a = 2²⁹ ( 1 + 1 )

a = 2²⁹ x 2

a = 2 ⁽ ²⁹ ⁺ ¹ ⁾

a = 2³⁰

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b = 12²⁰ : 2⁴⁰

b = ( 3 x 2² ) ²⁰ : 2⁴⁰

b = 3²⁰ x 2²ˣ²⁰ : 2⁴⁰

b = 3²⁰ x 2⁴⁰ : 2⁴⁰

b = 3²⁰

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a =2³⁰ = ( 2³ )¹⁰ = 8¹⁰

b = 3²⁰ = ( 3² )¹⁰ = 9¹⁰

8¹⁰ < 9¹⁰ == > a < b; 2³⁰ < 3²⁰