[latex] 49^{ \frac{1}{2} log_{7}36-2 log_{7} 3 } [/latex]

[latex] 49^{ \frac{1}{2}* log_{7}36-2* log_{7}3 } = 49^{ log_{7} 36^{ \frac{1}{2} } - log_{7} 3^{2} } = 49^{ log_{7} 6- log_{7} 9} = 49^{ log_{7} \frac{6}{9} } =[/latex] [latex]= 49^{ log_{7} \frac{2}{3} }=( 7^{2} )^{ log_{7} \frac{2}{3} } = 7^{2* log_{7} \frac{2}{3} } = 7^{ log_{7} ( \frac{2}{3} ) ^{2} } = \frac{4}{9} [/latex]