Răspuns:
a) 1
b) 81
c) [tex](\frac{3}{4} )^{8}[/tex]
d) [tex](\frac{475}{76} )^{3}[/tex]
e) 1
f) [tex]\frac{1}{729}[/tex]
Explicație pas cu pas:
a)
[tex](\frac{5}{11} )^{6} * (\frac{22}{10} )^{6} = (\frac{5}{11} * \frac{22}{10} )^{6} = (\frac{5}{10} *\frac{22}{11} )^{6} = (\frac{1}{2} * 2)^{6} = 1^{6} = 1[/tex]
b)
[tex](5\frac{2}{5} )^{4} * (\frac{5}{9} )^{4} = (\frac{27}{5} * \frac{5}{9} )^{4} = 3^{4} = 81[/tex]
c)
[tex](\frac{39}{54} )^{8} * (\frac{27}{26} )^{8} = (\frac{39*27}{54*26} )^{8} = (\frac{27}{54} * \frac{39}{26} )^{8} = (\frac{1}{2} * \frac{3}{2} )^{8} = (\frac{3}{4} )^{8}[/tex]
d)
[tex](\frac{55}{38} )^{3} * (\frac{95}{22} )^{3} = (\frac{55}{22} * \frac{95}{38} )^{3} =( \frac{5*95}{2*38} )^{3} = (\frac{475}{76} )^{3}[/tex]
e)
[tex](\frac{12}{100} )^{9} * (\frac{25}{3} )^{9} = (\frac{12}{3} * \frac{25}{100} )^{9} = (4*\frac{1}{4} )^{9} = 1^{9} = 1[/tex]
f)
[tex](\frac{9}{37} )^{6} * (\frac{37}{27} )^{6} = (\frac{9}{27} * \frac{37}{37} )^{6} = (\frac{1}{3} )^{6} = \frac{1}{729}[/tex]
