Question 981893
Simplify {{{ (((8x^2y^2))/(x^-2y^2)))}}}*{{{((4xy^2)^-1)/(x^2y)}}}
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Cancel the y^2 in the 1st term.
= {{{ (8x^2/(x^-2)))}}}*{{{((4xy^2)^-1)/(x^2y)}}}
Multiply NUM and DEN by x^2 in the 1st term.
= {{{8x^4}}}*{{{((4xy^2)^-1)/(x^2y)}}}
Cancel the x^2
= {{{8x^2}}}*{{{((4xy^2)^-1)/y}}}
Multiply NUM and DEN by 4xy^2 in the 2nd term.
= {{{8x^2}}}*{{{1/4xy^3}}}
= {{{8x^2/4xy^3}}}
= {{{2x/y^3}}}
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There's no trick, just be careful.