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cum se rezolva (5/11)^6•(11/10)^6

Răspuns :

...=(5/11 * 11/10)^6 = (1/2)^6= 1/2^6 = 1/64 =0,015625 ;
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Obs. in paranteza , am simplificat cu 11 si 5 !
(5/11)⁶*(11/10)^6=
=(5⁶/11⁶)*(11⁶/10⁶)=
=(5*5²)²/11⁶*(11*11²)²/10⁶=
=(5*5²)²/(11*11²)²*(11*11²)²/1000000=
=(5*25)²/(11*121)²*[(11*121)²/1000000]=
=(125)²/(1331)²*(1331²/1000000)=
=125²/1331²*1331²/1000000=
=(125²*1331²)/(1331²*1000000)=
=125²/1000000=125²/(125²*64)=1/64