Răspuns:
a) [tex]1[/tex]
b) [tex]81[/tex]
c) [tex](\frac{3}{4})^{8}[/tex]
Explicație pas cu pas:
a) [tex](\frac{5}{11})^{6} *(\frac{22}{10})^{6} = (\frac{5}{11}*\frac{22}{10})^{6} = (\frac{5*22}{11*10})^{6} = (\frac{110}{110})^{6} = 1^{6} = 1[/tex]
b) [tex](5\frac{2}{5})^{4} * (\frac{5}{9})^{4} = (\frac{5*5+2}{5})^{4} * (\frac{5}{9})^{4} = (\frac{27}{5})^{4}*(\frac{5}{9})^{4} = (\frac{27*5}{5*9})^{4} = (\frac{135}{45})^{4} = 3^{4} = 81[/tex]
c) [tex](\frac{39}{54})^{8}*(\frac{27}{26})^{8} = (\frac{13}{18})^{8}*(\frac{27}{26})^{8} = (\frac{13*27}{18*26})^{8} = (\frac{13*3*9}{2*9*2*13})^{8} = (\frac{3}{4})^{8}[/tex]