[tex]27 = {3}^{3} [/tex]
[tex]{3}^{5 \times 9} \div {3}^{3 \times 8} \\ {3}^{45} \div {3}^{24} = {3}^{45 - 24} = {3}^{21} [/tex]
[tex]8 = {2}^{3} \: \: \: \: 4 = {2}^{2} [/tex]
[tex] {2}^{3 \times 3 \times 4} \div {2}^{2 \times 3 \times 3}[/tex]
[tex] {2}^{36} \div {2}^{18} = {2}^{18} [/tex]