\frac{3^{7} *5^{2} }{5^{3} *3^{7} }=5^{2} :5^{3} =5^{-1} =\frac{1}{5} \\ \\" alt="\frac{27^{2}*75 }{375*9^{3} } =\frac{(3^{3} )^{2}*5^{2} *3 }{3*5^{3} *(3^{2} )^{3} }=
\frac{3^{7} *5^{2} }{5^{3} *3^{7} }=5^{2} :5^{3} =5^{-1} =\frac{1}{5} \\ \\" align="absmiddle" class="latex-formula">
\frac{2^{9} *3^{2} }{3^{4}*2^{7} }=\frac{2^{2} }{3^{2} }=\frac{4}{9}" alt="\frac{16^{2}*18 }{162*4^{3} } = \frac{(2^{4} )^{2}*3^{2}*2 }{3^{4}*2*(2^{2} )^{3} }=
\frac{2^{9} *3^{2} }{3^{4}*2^{7} }=\frac{2^{2} }{3^{2} }=\frac{4}{9}" align="absmiddle" class="latex-formula">