Question

Comparati numerele a si b:a=(|2 la puterea 111-3 la puterea 74|+2 la puterea 111):(81 la puterea 2 si la puterea a 9) b=(3 la 51-|3 la 51-4 la a 34|): 2 la a 64

Answer 1

comparam termenii din modul[tex] 2^{111} = (2^{3}) ^{37}= 8^{37} \\ 3^{74} = (3^2)^{37} =9^{37} \\ a=( 3^{74} - 2^{111} + 2^{111} ): 81^{18} = 3^{74} : (3^4)^{18} =3^{74}:3^{72}= 3^{2} =9 \\ 3^{51} = ( 3^{2} )^{17}= 9^{17} \\ 4^{34} =( 4^{2} )^{17} =16^{17} \\ b=(3^{51}-3^{51}+4^{34}) : 2^{64} = (2^2)^{34} :2^{64}= 2^{68} :2^{64}= 2^{4} =16 \\ \\ b\ \textgreater \ a[/tex]