Răspuns: [tex]\color {red}\Large\boxed{ \bf 51^{18} }[/tex]
Explicație pas cu pas:
Buna!
[tex]\large\bf b)~153^{231}\cdot 17^{231}:(9^{222}\cdot 17^{222}\cdot 17^{222})=[/tex]
[tex]\large\bf 153^{231}\cdot 17^{231}:[(9\cdot 17)^{222}\cdot 17^{222}]=[/tex]
[tex]\large\bf 153^{231}\cdot 17^{231}:(153^{222}\cdot 17^{222})=[/tex]
[tex]\large\bf 153^{231-222}\cdot 17^{231-222}=[/tex]
[tex]\large\bf 153^{9}\cdot 17^{9}=[/tex]
[tex]\large\bf (9\cdot17)^{9}\cdot 17^{9}=[/tex]
[tex]\large\bf 9^{9}\cdot17^{9}\cdot 17^{9}=[/tex]
[tex]\large\bf (3^{2} )^{9}\cdot17^{9+9}=[/tex]
[tex]\large\bf 3^{2\cdot 9}\cdot17^{18}=[/tex]
[tex]\large\bf 3^{18}\cdot17^{18}=[/tex]
[tex]\large\bf (3 \cdot 17)^{18}=[/tex]
[tex]\Large\boxed{\boxed{ \bf 51^{18} }}[/tex]
==pav38==
