Question

Comparați 2 la puterea 50 plus 2 la puterea 52 cu 5 la puterea 21​

Answer 1

2^50+2^52=2^50*(1+2^2)=2^50*(1+4)=2^50*5

2^50*5 sau 5^21 | impartim cu 5

2^50 sau5^20

(2^5)^10 sau (5^2)^10

32^10 sau 25^10

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Answer 2

2^50 + 2^52 = 2^50 × (1 + 2^2) = 2^50 × 5

Comparăm atunci 2^50 × 5 si 5^21

Putem împărți prin 5 si raman 2^50 = (2^5)^10 = 32^10 si 5^20 = (5^2)^10 = 25^10

32^10>25^10 => 2^50>5^20 => 2^50×5 > 5^21 => 2^50 + 2^52 > 5^21