Question

$\frac{(7 ^{ \frac{4}{7} }*3 ^{ \frac{2}{3} }) ^{21} }{21 ^{12} }$

Answer 1

$\frac{ 7^{ \frac{4}{7}* 21} * 3^{ \frac{2}{3}*21 } }{ 21^{12}}=\frac{ 7^{12}* 3^{14} }{ 21^{12}}=\frac{ 7^{12}* 3^{12}* 3^{2} }{ 21^{12}}=\frac{ (7* 3)^{12}* 3^{2} }{ 21^{12}}=\frac{ (21)^{12}* 3^{2} }{ 21^{12}} = 3^{2} =9$