Question

Aflați fracțiile ireductibile echivalente cu a) 2^8+2^6/35*64 b) 3^9-3^6/3^6*35 c) 5*3^8+3^10/3^8*35​

Answer 1

Răspuns:

a) $\frac{2^{8}+2^{6}}{35*64} = \frac{2^{6}(2^{2}+1)}{35*2^{6}} =\frac{4+1}{35} =\frac{5}{35} =\frac{1}{7}$

b) $\frac{3^{9}-3^{6} }{3^{6}*35} =\frac{3^{6}(3^{3}-1) }{3^{6}*35}=\frac{27-1}{35}  =\frac{26}{35}$

c) $\frac{5*3^{8}+3^{10}}{3^{8}*35} = \frac{3^{8}(5+3^{2})}{3^{8}*35} = \frac{5+9}{35} = \frac{14}{35} =\frac{2}{5}$

Explicație pas cu pas: