[tex] {81}^{3} \times {9}^{5} \div 27 = {( {3}^{4}) }^{3} \times {( {3}^{2}) }^{5} \div {3}^{3} [/tex]
[tex] = {3}^{4 \times 3} \times {3}^{2 \times 5} \div {3}^{3} [/tex]
[tex] = {3}^{12} \times {3}^{10} \div {3}^{3} [/tex]
[tex] = {3}^{12 + 10 - 3} = {3}^{22 - 3} = {3}^{19} [/tex]
