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[tex][5^{21} :(1+8^{10} :4^{14} )^{19} -1]:(4^{15} :8 ^{9} ) =[/tex]
[tex]= \{ {{5^{21}:[1+(2^{3} )^{10} :(2^{2})^{14} ]^{19} -1 } \} }:[(2^{2} )^{15} :(2^{3})^{9} ]=[/tex]
[tex]=[5^{21} :(1+2^{30} :2^{28} )^{19} -1]:(2^{30}:2^{27} )=[/tex]
[tex]=[5^{21} :(1+2^{30-28} )^{19} -1]:2^{30-27} =[/tex]
[tex]=[5^{21}:(1+2^{2} )^{19} -1]:2^{3} =[/tex]
[tex]=(5^{21} :5^{19} -1):8=[/tex]
[tex]=(5^{21-19} -1):8=[/tex]
[tex]=(5^{2} -1):8=[/tex]
[tex]=24:8=3[/tex]
