Question

Comparati numerele:

A) 5 la puterea 87 cu 25 la puterea 36;
B) 4 la puterea 333 cu 8 la puterea 122;
C) 2 la puterea 65 cu 16 la puterea 20.

Answer 1

a)25³⁶=(5²)³⁶=5⁷²
5⁸⁷>25³⁶

b)8¹²²=(2³)¹²²=2³⁶⁶
4³³³=(2²)³³³=2⁶⁶⁶
4³³³>8¹²²

c)16²⁰=(2⁴)⁶⁰=2²⁴⁰
2⁶⁵<16²⁰

Answer 2

A) 25^36 = 5^2*36= 5^72 => 5^87>25^36;
B) 4^333= 2^2*333= 2^666 ; 8^122=2^3*122=2^366 => 4^333>8^122 ;
C) 16^20=2^4*20=2^80 => 2^65 <16^20