Question

comparati nr nat. : x=8¹⁵;y=4²³. b) x=3⁵¹;y=5³⁴....

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Answer 1

Răspuns:

a) x < y

b) x > y

Explicație:

a) 8 = 2 × 2 × 2 = 2³

x = 8¹⁵ = (2³)¹⁵ = 2⁴⁵

4 = 2 × 2 = 2²

y = 4²³ = (2²)²³ = 2⁴⁶

2⁴⁵ < 2⁴⁶ → x < y

b) 51 = 3 × 17

3⁵¹ = (3³)¹⁷ = 27¹⁷

34 = 2 × 17

5³⁴ = (5²)¹⁷ = 25¹⁷

27¹⁷ > 25¹⁷ → x > y

-Mihai