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fie a =2 la puterea2012+2 la puterea2013 si b=4 la puterea 1006+4 la puterea 1007.Calculati valoarea raportului a pe b

Răspuns :

[tex]a=2 ^{2012} +2 ^{2013} [/tex]
[tex]a=2 ^{2012} *(1+2)=\ \textgreater \ a=3*2 ^{2012} [/tex]
[tex]b=(2 ^{2} ) ^{1006} +(2 ^{2} ) ^{1007} [/tex]
[tex]b=2 ^{2012} +2 ^{2014} [/tex]
[tex]b=2 ^{2012} *(1+2 ^{2} )=\ \textgreater \ b=5*2 ^{2012} [/tex]
[tex]=\ \textgreater \ \frac{a}{b} = \frac{3*2 ^{2012} }{5*2 ^{2012} } =\ \textgreater \ \frac{a}{b} = \frac{3}{5} [/tex]