Question

Vă rog repede
Vă dau coroana
ex 4 5 6 ​

Answer 1

Răspuns:

$\bf 4)~\boxed{\bf 5^{10}}$

$\bf 5)~\boxed{\bf n=2}$

$\bf 6)~ \boxed{\bf 11^{8} }$

Explicație pas cu pas:

(*^_^*)Salutare!

$\bf 4)~ 15^{10}: 9^{5} = 5^{10}\cdot 3^{10}: (3^{2})^{5}= 5^{10}\cdot 3^{10}:3^{2\cdot5}=$

$\bf ~~5^{10}\cdot 3^{10}:3^{10}=5^{10}\cdot 3^{10-10}=5^{10}\cdot 3^{0}=5^{10}\cdot1=\boxed{\bf 5^{10}}$        

$\it ~~~~~~~~~~~$

$\bf 5)~(n+1)^{4}=81\implies (n+1)^{4}=3^{4}\implies n+1=3\implies\boxed{\bf n=2}$  

$\it~~~~~$$\it~~~~~~~~~~$

$\bf 6)~ 5\cdot 11^{7}+6\cdot 11^{7} = 11^{7}\cdot (5\cdot 11^{7-7}+6\cdot 11^{7-7})=$

$\bf 11^{7}\cdot (5\cdot 11^{0}+6\cdot 11^{0})=$

$\bf 11^{7}\cdot (5\cdot 1+6\cdot 1)=$

$\bf 11^{7}\cdot 11= 11^{7+1}=\boxed{\bf 11^{8} }$

==pav38==