Question

Ex 8 repede dau coroana

Answer 1

P.S: ^ inseamna la puterea...

Răspuns:

a. 2^75>4^37

4^37=(2^2)^37=2^74

2^75>2^74

b.4^25<8^16

4^25=(2^2)^25=2^50

8^16=(2^3)^16=2^58

2^50<2^58

c. 3^35<9^17

9^17=(3^3)^17=3^51

3^35<3^51

d. 9^15=27^10

9^15=(3^2)^15=3^30

27^10=(3^3)^10=3^30

3^30=3^30

e. 32^10<16^25

32^10=(2^5)^10=2^50

16^25=(2^4)^25=2^100

2^50<2^100

f. 2^45<3^30

45=9x5

30=6x5

2^45=2^9x5=(2^9)^5=512^5

3^30=3^6x5=(3^6)^5=729^5

512^5<729^5

g. 2^120<3^80

120=12x10

80=8x10

2^120=2^12x10=(2^12)^10=4096^10

3^80=3^8x10=(3^8)^10=6561^10

4096^10<6561^10

h. 2^85>5^34

85=17x5

34=17x2

2^85=2^17x5=(2^5)^17=32^17

5^34=5^17x2=(5^2)^17=25^17

32^17>25^17

i. 3^57>5^38

57=3x19

38=2x19

3^57=3^3x19=(3^3)^19=27^19

5^38=5^2x19=(5^2)^19=25^19

27^19>25^19

Sper ca ti-a fost de ajutor.