To Find :
Solution :
[tex] \sf \dashrightarrow \: \frac{4 {}^{8} }{(4 {}^{2} {)}^{ - 3} } \div {4}^{4} = 4 {}^{n} \\ \\ \sf \dashrightarrow \: \frac{4 {}^{8} }{ {4}^{ - 6} } \div {4}^{4} = 4 {}^{n} \\ \\ \sf \dashrightarrow \: {4}^{8 - ( - 6)} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{8 + 6} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{14} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{14 - 4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{10} = 4 {}^{n} \\ \\ \red{\boxed{ \bf \: n = 10}}[/tex]
