Răspuns:
a) (3/7)²³
b) (5/9)¹³
c) (2/5)³⁰
Explicație pas cu pas:
a)
[tex][(\frac{3}{7} )^{8} ]^{5} :(\frac{3}{7} )^{17} =(\frac{3}{7} )^{5*8} :(\frac{3}{7} )^{17} =(\frac{3}{7}) ^{40-17}=(\frac{3}{7})^{23}[/tex]
b)
[tex][(\frac{5}{9} )^{4} ]^{6} :(\frac{5}{9} )^{11} =(\frac{5}{9} )^{4*6} :(\frac{5}{9} )^{11} =(\frac{5}{9}) ^{24-11}=(\frac{5}{9})^{13}[/tex]
c)
[tex](\frac{2}{5} )^{51} : [(\frac{2}{5} )^{7} ]^{3} = (\frac{2}{5} )^{51}: (\frac{2}{5} )^{7*3}=(\frac{2}{5})^{51-21}=(\frac{2}{5})^{30}[/tex]
