Bonsoir,
A = [tex]\frac{2^{-4}*2^{9} }{2^{5} *2^{-7} } = \frac{2^{-4+9} }{2^{5-7} }=\frac{2^{5} }{2^{-2} } = 2^{5-(-2)} = 2^{7}[/tex]
B = [tex]\frac{((-3)^{4})^{-2} * (-3) }{(-3)^{-3} } = \frac{(-3)^{4*(-2)+1} }{(-3)^{-3} } = \frac{(-3)^{-7} }{(-3)^{-3} } = (-3)^{-7-(-3)} = (-3)^{-7+3} = (-3)^{-4}[/tex]
C = [tex]\frac{2^{9}*28 }{14*2^{3} } = \frac{2^{9}*2*2*7 }{2*7*2^{3} } = \frac{2^{9+1+1}*7 }{2^{3+1}*7 } = \frac{2^{11}*7 }{7*2^{4} } = \frac{2^{11} }{ 2^{4} } =2^{11-4} = 2^{7}[/tex]
D = [tex](\frac{1}{2^{2} } )^{5} = \frac{1^{5} }{2^{2*5} } = \frac{1^{5} }{2^{10} }[/tex]
E = [tex]\frac{49^{3} }{7^{5} } = \frac{(7*7)^{3} }{7^{5} } = \frac{(7^{2})^{3} }{7^{5} } = \frac{7^{3*2} }{7^{5} } = \frac{7^{6} }{7^{5} } = 7^{6-5} = 7^{1} = 7[/tex]
Bonne soirée
