Question

copmarati numerele 1) 2⁵³si 2³¹, 2)9⁵¹si¹⁰³ ,3) 4⁴⁷ si 8³¹, 4)9²⁴si 27¹⁶ , 5) 125⁴³si 25⁶¹, 6) 10⁴³si 100¹⁹​

Answer 1

Răspuns:

Explicație pas cu pas:

1) 2⁵³ > 2³¹

2)9⁵¹ < 3¹⁰³  

9^51 = (3^2)^51 = 3^102

3) 4⁴⁷ > 8³¹

4^47 = (2^2)^47 = 2^94

8^31 = (2^3)^31 = 9^93

4)9²⁴ = 27¹⁶

9^24 = (3^2)^24 = 3^48

27^16 = (3^3)^16 = 3^48

5) 125⁴³ > 25⁶¹

125^43 = (5^3)^43 = 5^129

25^61 = (5^2)^61 = 5^122

6) 10⁴³ > 100¹⁹​

100^19 = (10^2)^19 = 10^38