[tex]7^{6*8}:7(^{2})^{24} =7^{48}:7^{48} =7^{48-48} =7^0=1\\3^{4*9}:(3^{2*6})^3=3^{36}:3^{12*3}=3^{36}:3^{36}=3^{36-36}=3^{0}=1\\(11^{2011})*(2^2)^{1005}:(22)^{2*5*201}=(11*11^{2010}*2^{2010}):22^{2010}\\11*22^{2010}:22^{2010}=11*22^{2010-2010}=11*22^{0}=11*1=11\\2^{(23-21-1)}+3^{(32-31)}=2^{1}+3^{1}=2+3=5[/tex]
