Answer:
[tex] \\{ \boxed {\sf {n = 8}}}[/tex]
Step-by-step explanation:
[tex] \\ \sf( {2}^{4} )^{2} = {2}^{n} [/tex]
[tex] \\ \sf \mapsto {2}^{4 \times 2} = {2}^{n} [/tex]
[tex] \\ \sf \mapsto {2}^{8} = {2}^{n} [/tex]
[tex] \\ \sf \mapsto8 = n[/tex]
[tex] \\ \sf \therefore \: n = 8[/tex]
