Question

Exercitiile 6 si 8 ,va rog urgent
Trebuie sa compar.

Answer 1

2^72<(2^2)^37, 2^72<2^74
(2^5)^20=2^100,(2^4)^25=2^100, sunt egale
(6^12)^10 > (5^8)^10 , compar 6^12=(6^3)^4 si 5^8 =(5^2)^4, 6^3>5^2
(10^10)^10 >(10^2)^10, 10^10>10^2
9^40 = (9^2)^20=9^40
2^30*100^30 =(2^3)^10*(10^2)^30=8^10*10^60
(3^2)^30=3^60 >(3^3)^10, 3^60>3^30
3^(3*15) =(3^3)^15=27^15, 2^2*15=(2^2)^15=4^15, 27^15>4^15
(3^5)^11=243^11, (2^8)^11=256^11, 243<256

8. a) 2^75 si (2^2)^37=2^74 , 2^75>2^74
b. (2^2)^25=2^50 si (2^3)16=2^48, 2^50 > 2^48
c.3^35 si (3^2)^17, 3^35>3^34
d. (3^2)^15=3^30, (3^3)^10=3^30, sunt egale
e.(2^5)^10=2^50, (2^4)^25=2^100, 2^50< 2^100
f. (2^3)^15=8^15 , (3^2)^15=9^15, 8^15<9^15