Răspuns:
- (A) [tex]\bf 2^{73}\cdot 161[/tex]
- (B) [tex]\bf 5^{47}\cdot 163[/tex]
- (C) [tex]\bf 13^{12}\cdot 480[/tex]
Explicație pas cu pas:
Salutare!
(A)
[tex]\bf 2^{73}+2^{78}+2^{80}=[/tex]
[tex]\bf 2^{73}\cdot(2^{73-73}+2^{78-73}+2^{80-73})=[/tex]
[tex]\bf 2^{73}\cdot(2^{0}+2^{5}+2^{7})=[/tex]
[tex]\bf 2^{73}\cdot(1+32+128)=[/tex]
[tex]\boxed{\bf 2^{73}\cdot 161}[/tex]
(B)
[tex]\bf 3\cdot 5^{47}+2\cdot 5^{48} + 6\cdot 5^{49}=[/tex]
[tex]\bf 5^{47}\cdot(5^{47-47} +2\cdot 5^{48-47} + 6\cdot 5^{49-47})=[/tex]
[tex]\bf 5^{47}\cdot(5^{0} +2\cdot 5^{1} + 6\cdot 5^{2})=[/tex]
[tex]\bf 5^{47}\cdot(1+2\cdot 5 + 6\cdot 25)=[/tex]
[tex]\bf 5^{47}\cdot(1+10 + 150)=[/tex]
[tex]\boxed{\bf 5^{47}\cdot 163}[/tex]
(C)
[tex]\bf 13^{14}\cdot3 - 13^{13}\cdot 2 - 13^{12} =[/tex]
[tex]\bf 13^{12}\cdot(13^{14-12}\cdot3 - 13^{13-12}\cdot 2 - 13^{12-12}) =[/tex]
[tex]\bf 13^{12}\cdot(13^{2}\cdot3 - 13^{1}\cdot 2 - 13^{0}) =[/tex]
[tex]\bf 13^{12}\cdot(169\cdot3 - 13\cdot 2 - 1) =[/tex]
[tex]\bf 13^{12}\cdot(507 - 26 - 1) =[/tex]
[tex]\boxed{\bf 13^{12}\cdot 480}[/tex]
#copaceibrainly
