Question

Comparati numerele:2^30si3^20;5^34si3^51

Answer 1

2^30 = (2^3)^10 = 8^10

3^20 =(3^2)^10 = 9^10

8^10 < 9^10 => 2^30 < 3^20
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5^34 = (5^2)^17 = 25^17

3^51 = (3^3)^17 = 27^17

25^17 < 27^17 => 5^34 < 3^51
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Answer 2

2³⁰ = 2³⁾¹⁰ = 8¹⁰

3² =3²⁾¹⁰ = 9¹⁰

2³⁰ < 3²⁰

5³⁴ = 5²⁾¹⁷ = 25¹⁷

3⁵¹ = 3³⁾¹⁷= 27¹⁷

5³⁴ < 3⁵¹