Question

Simplificati fractia ordinara 2 75-2 71/2 74+2 72

Answer 1

Răspuns:

$\frac{2^{75}-2^{71}}{2^{74}+2^{72}}=\\ \\=\frac{2^{71}(2^{4}-1)}{2^{72}(2^{2}+1)}\\ \\=simplificam~2^{71}\\ \\=\frac{16-1}{2(4+1)}\\ \\=\frac{15}{2*5}=\frac{15}{10}=simplificam~cu~5=\frac{3}{2}$