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Aflati 3 la puterea n-5=(3 la puterea 4)la puterea 9: 81 la puterea 5

Răspuns :

3^(n-5)=(3^4)^9:(3^4)^5
3^(n-5)=3^36:3^20
3^(n-5)=3^16⇒ n-5=16⇒ n=21
am folosit formulele
(a^m)^n=a^m*n
a^m : a^n=a^(m-n)
3^(n-5)=(3^4)^9:(3^4)^5
3^(n-5)=3^36:3^20
3^(n-5)=3^16⇒ n-5=16⇒ n=21