Question

4.Comparați numerele

Answer 1

Răspuns:

Explicație:

4

a) 2³=8; 3²=9   2³<3²

b) (2³)²;           2⁶<2⁹

c) 81³=(3⁴)³=3¹²; 27⁴=(3³)⁴=3¹²   81³=27⁴

d) 4⁹⁰=(4³)³⁰=64³⁰; 7⁶⁰=(7²)³⁰=49³⁰   4⁹⁰> 7⁶⁰

e) 2⁴⁷-2⁴⁶-2⁴⁵=2⁴⁵(2²-2-1)=2⁴⁵; 32⁹=(2⁵)⁹=2⁴⁵    2⁴⁷-2⁴⁶-2⁴⁵=32⁹

f) 2¹⁵⁵=(2⁵)³¹=8³¹; 3⁹³=(3³)³¹=27³¹   2¹⁵⁵< 3⁹³

g) 5¹⁶ ;   (625²)³=625⁶=(5⁴)⁶=5²⁴    5¹⁶<(625²)³

h)5¹⁰⁰=(5²)⁵⁰=25⁵⁰; 3¹⁵⁰=(3³)⁵⁰=9⁵⁰   5¹⁰⁰>3¹⁵⁰