Step-by-step explanation:
[tex] {2}^{4n} \times {2}^{2n} = 512[/tex]
[tex] {2}^{4n} \times {2}^{2n} = {2}^{9} [/tex]
[tex] {2}^{4n + 2n} = {2}^{9} [/tex]
[tex]6n = 9[/tex]
[tex]n = \frac{3}{2} [/tex]
