Aplique as propriedades e reduza a uma so potência. a) 8,2^3cdot 8,2^6cdot 8,2^1= b) ([(-6)^-3]^-3)/((-6)^-5)cdot (-6)^13cdot (-6)^-11= c) ((10^2)^3cdot 10^7)/(10^-9)= d) (5,5^-1cdot 5,5^4)^12=

a) $8,2^{3}\cdot 8,2^{6}\cdot 8,2^{1} = 8,2^{3+6+1} = 8,2^{10}$<br /><br />b) $\frac {[(-6)^{-3}]^{-3}}{(-6)^{-5}}\cdot (-6)^{13}\cdot (-6)^{-11} = \frac {(-6)^{9}}{(-6)^{-5}}\cdot (-6)^{13}\cdot (-6)^{-11} = (-6)^{9+5+13-11} = (-6)^{16}$<br /><br />c) $\frac {(10^{2})^{3}\cdot 10^{7}}{10^{-9}} = \frac {10^{6}\cdot 10^{7}}{10^{-9}} = 10^{6+7+9} = 10^{22}$<br /><br />d) $(5,5^{-1}\cdot 5,5^{4})^{12} = (5,5^{4-1})^{12} = (5,5^{3})^{12} = 5,5^{3\cdot 12} = 5,5^{36}$