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calculați: (2/3)^99:2^100+6^100/3^100+9^100
dau coroană și 50 p


Răspuns :

(2/3)^99:[(2^100+6^100)/(3^100+9^100)]=
=
(2/3)^99:{[(2^100)(1+3^100)]/[(3^100)(1+3^100)]}=
=(2/3)^99:[(2^100)/(3^100)]=
=(2/3)^99 x[(3^100)/(2^100)]=
=[(3/2)^(-99)]x[(3/2)^100]=(3/2)^(100-99)=3/2

Data viitoare pune si paranteze in enunt. Am pierdut ceva timp pana le-am dat de cap! O zi buna!