Răspuns:
[tex]\bf 4)~\boxed{\bf 5^{10}}[/tex]
[tex]\bf 5)~\boxed{\bf n=2}[/tex]
[tex]\bf 6)~ \boxed{\bf 11^{8} }[/tex]
Explicație pas cu pas:
(*^_^*)Salutare!
[tex]\bf 4)~ 15^{10}: 9^{5} = 5^{10}\cdot 3^{10}: (3^{2})^{5}= 5^{10}\cdot 3^{10}:3^{2\cdot5}=[/tex]
[tex]\bf ~~5^{10}\cdot 3^{10}:3^{10}=5^{10}\cdot 3^{10-10}=5^{10}\cdot 3^{0}=5^{10}\cdot1=\boxed{\bf 5^{10}}[/tex]
[tex]\it ~~~~~~~~~~~[/tex]
[tex]\bf 5)~(n+1)^{4}=81\implies (n+1)^{4}=3^{4}\implies n+1=3\implies\boxed{\bf n=2}[/tex]
[tex]\it~~~~~[/tex][tex]\it~~~~~~~~~~[/tex]
[tex]\bf 6)~ 5\cdot 11^{7}+6\cdot 11^{7} = 11^{7}\cdot (5\cdot 11^{7-7}+6\cdot 11^{7-7})=[/tex]
[tex]\bf 11^{7}\cdot (5\cdot 11^{0}+6\cdot 11^{0})=[/tex]
[tex]\bf 11^{7}\cdot (5\cdot 1+6\cdot 1)=[/tex]
[tex]\bf 11^{7}\cdot 11= 11^{7+1}=\boxed{\bf 11^{8} }[/tex]
==pav38==
