Answer:
n = 6
Step-by-step explanation:
[tex] {2}^{3}. {4}^{3} = {2}^{3}. {2}^{n} \\ \\ {2}^{3}. {( {2}^{2}) }^{3} = {2}^{3 + n} \\ \\ {2}^{3}. {2 }^{6} = {2}^{3 + n} \\ \\ {2 }^{3 + 6} = {2}^{3 + n} \\ \\ {2 }^{9} = {2}^{3 + n} \\ \\ 9 = 3 + n \\ (bases \: are \: same \: so \: exponents \: will \: \\ also \: be \: equal) \\ 9 - 3 = n \\ \huge \red{ \boxed{n = 6}}[/tex]
