Question

Comparați a) 5^8 cu 2^15+2*4^7. b)5^14 cu 3^21. c) 2^51cu3^34

Answer 1

2¹⁵+2x4⁷=2¹⁵+2x(2²)⁷=2¹⁵+2x2¹⁴=2¹⁵+2¹⁺¹⁴=2¹⁵+2¹⁵=2¹⁵(1+1)=2¹⁵x2=2¹⁵⁺¹=2¹⁶
le aducem la acelasi nivel bazele si exponenti
5⁸⇒5⁸x2⁸=10⁸
2¹⁶ ⇒ 2¹⁶x5¹⁶=10¹⁶
5⁸<2¹⁶
b) 5¹⁴⇒5¹⁴x3¹⁴=15¹⁴
3²¹   ⇒ 3²¹x5²¹=15²¹
5¹⁴<3²¹
c) 2⁵¹ ⇒2⁵¹x3⁵¹=6⁵¹
3³⁴  ⇒ 3³⁴x2³⁴=6³⁴
2⁵¹>3³⁴