Răspuns:
a) [tex](\frac{5}{6} )^{10}[/tex]
b) [tex](-\frac{4}{5} )^{7}[/tex]
c) [tex](-\frac{3}{4} )^{15}[/tex]
d) [tex](\frac{1}{7} )^{16}[/tex]
Explicație pas cu pas:
a)
[tex](-\frac{5}{6} )^{4} * (-\frac{5}{6} ) * (-\frac{5}{6} )^{5} = (-\frac{5}{6} )^{4+1+5} = (-\frac{5}{6} )^{10} = (\frac{5}{6} )^{10}[/tex]
b)
[tex](-\frac{4}{5} )^{19} : (-\frac{4}{5} )^{10} :(-\frac{4}{5} )^{2} = (-\frac{4}{5} )^{19-10-2} = (-\frac{4}{5} )^{7}[/tex]
c)
[tex][(-\frac{3}{4} )^{3} ]^{5} = (-\frac{3}{4} )^{3*5} = (-\frac{3}{4} )^{15}[/tex]
d)
[tex][[(-\frac{1}{7} )^{2} ]^{2} ]^{4} = (-\frac{1}{7} )^{2*2*4} = (-\frac{1}{7} )^{16} = (\frac{1}{7} )^{16}[/tex]
