simplify and write the resulting expression with only positive exponents

(x

^{3}y^{-2})^{2}/(x^{5}y^{3})^{-3}Remembering that x

^{-a}= 1/x^{a}, we can re-write the expression as:(x

^{3})^{2}(x^{5}y^{3})^{3}/(y^{2})^{2}Now (x

^{a})^{b}= x^{ab}:x

^{6}x^{15}y^{9}/y^{4}Since x

^{a}x^{b}= x^{a+b}and x^{a}/x^{b}= x^{a-b}, we can combine terms with the same base and simplify:x

^{6+15}y^{9-4}**x**

^{21}y^{5}