Question

Comparati numerele: a) 6⁵⁷⁰ si 15³⁸⁰ b)10000⁴³ si 1000⁵³

Answer 1

Răspuns:

Explicație pas cu pas:

6^570 = (6^3)^190 = 216^190

15^380 = (15^2)^190 = 225^190

216^190 < 225^190 ⇒ 6^570 < 15^380

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10000^43 = (10^4)^43 = 10^172

1000^53 = (10^3)^53 = 10^159

10^172 > 10^159 ⇒ 10000^43 > 1000^53