Fractie simplificata cu 1000

alex2008 · Post by **alex2008** » Sat Nov 08, 2008 8:36 am

Aratati ca fractia \( \frac{2^{2n+8}\cdot5^{2n+1}\cdot7^n+28^{n+1}\cdot5^{2n+2}+4^{n+1}\cdot5^{2n+1}\cdot7^n}{3^n\cdot7^{n+2}\cdot11^{n+1}+21^{n+1}\cdot11^{n+2}-40\cdot3^{3n+3}\cdot77^n} \) se simplfica cu 1000 , pentru orice n natural diferit de zero .

Natalee · Post by **Natalee** » Sun Feb 15, 2009 6:45 am

Exercitiu respecta conditia: * , pentru orice n natural diferit de zero * daca la numitorul fractiei , in loc de \( \ 3^{3n + 3} \ \) ai avea \( \ 3^{n + 3} \).