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Comparati numerele: 

A=8 la puterea 19 cu B=4 la puterea 28+11*4 la puterea 28-10*4 la puterea 28


Răspuns :

[tex]A=8^{19}=(2 ^{3} ) ^{19} =2 ^{3*19} =2 ^{57} [/tex]

[tex]B=4 ^{28} +11*4^{28} -10*4 ^{28}=4 ^{28}(1+11-10)= 4^{28} *2=[/tex][tex]( 2^{2} ) ^{28} *2= 2^{2*28+2} =2 ^{56+2} =2 ^{58} [/tex]

[tex]2^{57} <2 ^{58} [/tex]
A<B