[tex] 3^{4} * \frac{1}{ 11^{4-3} } = \frac{81}{11} =7,(36)[/tex][tex] \frac{ 3^{-4} }{ 3^{-7} } = \frac{ \frac{1}{ 3^{4} } }{ \frac{1}{ 3^{7} } } = \frac{1}{ 3^{4} } * \frac{ 3^{7} }{1} = \frac{ 3^{7} }{ 3^{4} } = 3^{7-4} = 3^{3} = 27[/tex]
[tex] 5^{-11} * 5^{9} = \frac{1}{ 5^{11} } * 5^{9} = \frac{ 5^{9} }{ 5^{11} } = \frac{1}{ 5^{11-9} } = \frac{1}{ 5^{2} } = \frac{1}{25} [/tex]
[tex] ( \frac{3}{11} )^{4} * ( \frac{1}{11} )^{-3} = \frac{ 3^{4} }{ 11^{4} } * \frac{ 1^{-3} }{ 11^{-3} } = \frac{ 3^{4} }{ 11^{4} } * \frac{ \frac{1}{ 1^{3} } }{ \frac{1}{ 11^{3} } } = \frac{ 3^{4} }{ 11^{4} } * \frac{1}{ 1^{3} } * \frac{ 11^{3} }{1} = \frac{ 3^{4} * 11^{3} }{ 11^{4} } = [/tex]
