Răspuns:
1
Explicație pas cu pas:
[tex](5\frac{5}{8} : 4\frac{1}{2} - \frac{2^{102} + 2^{104} }{2^{105} - 2^{101} } )*1\frac{5}{7}[/tex]
[tex]= (\frac{45}{8} :\frac{9}{2} - \frac{2^{101}(2+2^{3} ) }{2^{101}(2^{4} - 1) } )*\frac{12}{7}[/tex]
[tex]= (\frac{45}{8} *\frac{2}{9} - \frac{2+8}{16-1} )*\frac{12}{7}[/tex]
[tex]= (\frac{5}{4} - \frac{10}{15} ) *\frac{12}{7}[/tex]
[tex]= (\frac{5}{4} - \frac{2}{3} )*\frac{12}{7}[/tex]
[tex]= \frac{5*3 - 2*4}{12} *\frac{12}{7}[/tex]
[tex]= \frac{15-8}{7}[/tex]
[tex]= \frac{7}{7}[/tex]
[tex]= 1[/tex]
