(2^n+2+2^n+1+2^n):2^n-5



Dau funda


Răspuns :

(2^n+2 + 2^n+1 + 2^n) : 2^n-5 =

= 2^n × ( 2^2+2^1 +1) : 2^n-5 =

= 2^n × (4+2+1) : 2^n -5 =

= 2^n × 7 : 2^n-5 =

= 2^5 × 2^n-5 × 7 : 2^n-5 =

= 2^5 × 7 =

= 32 × 7 =

= 224


L - am scris pe 2^n = 2^5 × 2^n-5
astfel 2^n-5 se va reduce,ramananad 2^5×7