Question 180173
This question is a teacher made up question and does not come from my book:
Simplify the expression: (xy to the negative 2 power)to the negative 2 power divided by(x to the negative 2 power y)to the negative 3 power. Please can you help me? 


I'M NOT SURE I UNDERSTAND YOUR PROBLEM BUT I'LL TRY:

{{{((xy^-2)^-2)/((x^-2y)^-3)}}}=
{{{(x^-2y^4)/(x^6y-3)}}}=  -------------------EXPRESSION A
{{{(y^4/x^2)/(x^6/y^3)}}} Multiply numerator and denominator of the complex fraction by {{{(y^3/x^6)}}} that will make the denominator equal to 1 and thus get rid of the complex fraction
{{{((y^4/x^2)(y^3/x^6))/1}}}=
{{{y^7/x^8}}}-------------------------Ans

By inspecting EXPRESSION A above we can arrive at the same answer:

Hope this helps-----ptaylor