Odpowiedź:
16⁸ = (2⁴)⁸ = 2³² 64⁵ =( 2⁶)⁵ = 2³⁰ 8¹² ==( 2³ )¹² = 2³⁶ 4¹⁷ = (2² )¹⁷ = 2³⁴
64⁵ < 16⁸ < 4¹⁷ < 8¹²
b) 27¹⁵ =( 3³)¹⁵ = 3⁴⁵ 9¹⁷ =( 3²) ¹⁷ = 3³⁴ 3⁴⁰ 81⁹ =( 3⁴)⁹ = 3³⁶
9¹⁷ < 81⁹ < 3⁴⁰< 27¹⁵
c) ( 2³)⁴ = 2¹² ( 2⁴ )³ = 2¹² ( 4³ )² =( (2²)³)² = 2¹² ( 4)²)³ = 2¹²
( 2³)⁴ = ( 2⁴ )³ = ( 4³ )² = ( 4)²)³
Szczegółowe wyjaśnienie:
