remember
\(\frac{ \sqrt{x} }{ \sqrt{y} } = \sqrt{ \frac{x}{y} }\)
and
\(\frac{x^m}{x^n}=x^{m-n}\)
and
\(\sqrt[n]{x^m}=x^ \frac{m}{n}\)
and
\(\sqrt{ab}=( \sqrt{a})( \sqrt{b} )\)
\(\frac{ \sqrt{6x^{11}y^7} }{ \sqrt{5x^3y^2} } = \sqrt{ \frac{6x^{11}y^7}{5x^3y^2} }\)=
\(\sqrt{ (\frac{6}{5} )( \frac{x^{11}}{x^3} } )( \frac{y^7}{y^2}) }\)=\(\sqrt{ (\frac{6}{5})(x^8)(y^5) }\)=\(( \sqrt{ \frac{6}{5} } )( \sqrt{x^8})( \sqrt{y^5})\)=\(\sqrt{ (\frac{6}{5})(x^ \frac{8}{2})(y^ \frac{5}{2})\)=\(( \sqrt{ \frac{6}{5} } )(x^4)(y^2 \sqrt{y})\)=\(x^4y^2 \sqrt{ \frac{6y}{5} }\)
