Salutare !
(a)
[tex]\bf (3\cdot 2)^{9}:2^{9}=3^{9}\cdot 2^{9}:2^{9}=3^{9}\cdot 2^{9-9}=3^{9}\cdot 2^{0}=3^{9}\cdot 1=\boxed{\bf 3^{9}}[/tex]
(b)
[tex]\bf 6^{7}:3^{7}=3^{7}\cdot 2^{7}:3^{7}=3^{7-7}\cdot 2^{7}=3^{0}\cdot 2^{7}=1\cdot 2^{7}=\boxed{\bf 2^{7}}[/tex]
(c)
[tex]\bf (2\cdot 5)^{8}:2^{8}=2^{8}\cdot 5^{8}:2^{8}=2^{8-8}\cdot 5^{8}=2^{0}\cdot 5^{8}=1 \cdot 5^{8}=\boxed{\bf 5^{8}}[/tex]
(d)
[tex]\bf (5^{2} \cdot 3)^{2}:5^{4}=5^{2\cdot 2}\cdot3^{2}:5^{4}=5^{4}\cdot3^{2}:5^{4}= 5^{4-4}\cdot3^{2}=5^{0}\cdot3^{2}=1\cdot 3^{2}=\boxed{\bf 3^{2}}[/tex]
(e)
[tex]\bf (3^{4} \cdot2)^{7}:3^{28}= 3^{28} \cdot2^{7}:3^{28}=3^{28-28} \cdot2^{7}= 3^{0}\cdot2^{7}=1 \cdot2^{7}=\boxed{\bf 2^{7}}[/tex]
(g)
[tex]\bf (3 \cdot4^{3}):4^{4}-12^{2}= 3 \cdot64:4^{4}-12^{2} =192 : 256-144 \implies \text{este o greseala de scriere }[/tex]
(h)
[tex]\bf (2^{7} \cdot5^{4}):2^{9}-10^{12}= (128 \cdot625):2^{9}-10^{12}= 80000:256-10^{12}=[/tex]
[tex]\bf 79488-10^{12}[/tex]
