Question

Ordonati crescator fractiile 9^21/2011, 3^31/2011, 27^11/2011 si 2011/2^35 , 2011/3^21, 2011/5^14 Dau coroana

Answer 1

Răspuns:

9²¹/2011=(3²)²¹/2011=3⁴²/2011

3³¹/2011

27¹¹/2011=(3³)¹¹/2011=3³³/2011

avem aceleasi baze ale numaratorului comparam exponentul

3³¹/2011 ; 27¹¹/2011 ; 9²¹/2011

__________

2011/2³⁵=2011/(2⁵)⁷=2011/32⁷

2011/3²¹=2011/(3³)⁷=2011/27⁷

2011/5¹⁴=2011/(5²)⁷=2011/25⁷

avem acelasi exponent la numitor comparam bazele

2011/5¹⁴ ; 2011/3²¹ ; 2011/2³⁵