Question 9736
First, rearrange, to remove the negative powers on the outside of the 3 brackets:

{{{ (6xy^2)/((-2x^2y^-3)^2(3x^-1y)^4) }}}


lets just do each of the 3 main brackets individually first:

{{{ (-2x^2y^-3)^2}}} --> {{{4x^4y^-6}}}
{{{ (3x^-1y)^4}}} --> {{{81x^(-4)y^4}}}
{{{ (6xy^2) }}} --> unchanged


so we get {{{ (6xy^2)/((4x^4y^-6)(81x^(-4)y^4)) }}} which then becomes


{{{ (6xy^2)/(324y^-2) }}}
{{{ (6xy^2*y^2)/(324) }}}
{{{ (6xy^4)/(324) }}}
{{{ (xy^4)/(54) }}}


jon.