[tex]27^{4}=( 3^{3}) ^{4}= 3^{12}\\81^{2}= (3^{4})^{2}= 3^{8}\\81^{6}= (3^{4})^{6}= 3^{24}\\9^{8}= (3^{2})^{8}= 3^{16}\\27^{10}= (3^{3})^{10}= 3^{30}\\ \\\\81^{2} < 27^{4} < 9^{8} < 81^{6} < 27^{10}[/tex]