Question

so sánh :
5^2 va 2^5
 3^23 va 3^25
 3^37 va 10.3^35
 7^98 + 7^99 + 7^100 va 7^101
127.5^34 va 5^37

Answer 1

ta co

5^2=25

2^5= 32

32>25

suy ra 5^2<2^5

Answer 2

ta có

3^25 =3^23.3^2

ma 3^23<3^23.3^2

suy ra 3^25>3^23

Answer 3

ta co

3^37 =3^35.3^2        

        = 3^35.9

vì 3^35.9<10.3^35

suy ra 3^37<10.3^35

Answer 4

ta có:

7^98+7^99+7^100

=7^98.(1+7+7^2)

=7^98.57

7^101=7^98.7^3=7^98.343

vì 7^98.57<7^98.343

suy ra 7^98+7^99+7^100<7^101

Answer 5

ta có

127.5^34

=125.5^34+2.5.5^34

=5^37+2.5^34

vì 5^37<5^37+2.5^34

suy ra 127.5^34>45^37