Răspuns:
a) 0
b) [tex]3*(\frac{13}{16} )^{4}[/tex]
Explicație pas cu pas:
a)
[tex][(\frac{4}{12} )^{4} : (\frac{1}{3} )^{2} - (\frac{8}{24} )^{5} : (\frac{3}{9} )^{3} ]^{3} : [(-\frac{11}{12} )^{2} ]^{5}[/tex]
[tex]= [(\frac{1}{3} )^{4} : (\frac{1}{3} )^{2} - (\frac{1}{3} )^{5} : (\frac{1}{3} )^{3} ]^{3} : (\frac{11}{12} )^{10}[/tex]
[tex]= [(\frac{1}{3} )^{4-2} - (\frac{1}{3} )^{5-3} ]^{3} : (\frac{11}{12} )^{10}[/tex]
[tex]= [(\frac{1}{3} )^{2} - (\frac{1}{3} )^{2} ]^{3} : (\frac{11}{12} )^{10}[/tex]
[tex]= 0 : (\frac{11}{12} )^{10}[/tex]
= 0 (pentru că avem o fracție cu numărătorul egal cu 0)
b)
[tex][(-\frac{3}{4} )^{6} : (-\frac{3}{4} )^{4} + (\frac{1}{2} )^{7} : (\frac{1}{2} )^{5} ]^{3} *(\frac{39}{16} )^{1}[/tex]
[tex]= [(-\frac{3}{4} )^{6-4} + (\frac{1}{2} )^{7-5} ]^{3} *\frac{39}{16}[/tex]
[tex]= [(\frac{3}{4} )^{2} + (\frac{1}{2} )^{2} ]^{3} *\frac{39}{16}[/tex]
[tex]= (\frac{9}{16} + \frac{1}{4} )^{3} *\frac{39}{16}[/tex]
[tex]= (\frac{9+4}{16} )^{3} * \frac{39}{16}[/tex]
[tex]= (\frac{13}{16} )^{3} * \frac{13*3}{16}[/tex]
[tex]= \frac{3*13^{4} }{16^{3}*16 }[/tex]
[tex]= 3*(\frac{13}{16} )^{4}[/tex]
