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The step by step simplification of the given expression is given below:


( (3 x^(5) y^(3) )/( 10n^(4) ) )/( ( 9x^(2)y )/( 5mn^(3) ) ) \\ \\ = (3 x^(5) y^(3) )/(10 n^(4) ) * (5m n^(3))/(9 x^(2) y ) \\ \\ = ( x^(3) y^(2) )/(2n)* (m)/(3) \\ \\ = ( x^(3) y^(2)m )/(6n)
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