Question 891885
I'll take a shot:
{{{ ( 20x^(-4) / 27y^2 ) / ( 8x^(-3) / 15y^(-5) ) }}}
I'll do the innermost division first
{{{ ( 20x^(-4) / 27y^2 ) * ( 15y^(-5) / 8x^(-3) ) }}}
{{{ ( 20x^(-4) * 15y^(-5) ) / ( 8x^(-3) * 27y^2 ) }}}
{{{ ( 20x^(-4) / 8x^(-3) ) * ( 15y^(-5) / 27y^2 ) }}}
Now I can convert minus exponents to plus
{{{ ( 20x^3 / 8x^4 ) * ( 15 / (27y^5*y^2) ) }}}
{{{ ( 5/2 )*( 1/x ) * ( 15/27 )*( 1/y^7 ) }}}
{{{ (25/18  )*( 1/( x*y^7 )) }}}
{{{ 25 / ( 18x*y^7 ) }}}
 I get (D) also