[tex] {2}^{4n + 7} = {8}^{9} [/tex]
[tex] {2}^{4n} \times {2}^{7} = ( {2}^{3} ) ^{9} [/tex]
[tex] {2}^{4n} \times {2}^{7} = {2}^{27} [/tex]
[tex] {2}^{4n} = {2}^{27} \div {2}^{7} [/tex]
[tex] {2}^{4n} = {2}^{20} [/tex]
[tex]4n = 20[/tex]
[tex] n = \frac{20}{4} = 5[/tex]
