SOLUTION: {{{matrix(2,1, "", ((27x^(-7)y^5)/(64x^(-5)y^(-5)))^(1/3) )}}}

Write 27 as 3³ and 64 as 4³



Move the x-7 to the bottom as x7
Move the x-5 to the top as x5
Move the y-5 to the top as y5



Add the exponents of y5 and y5 as y10



Subtract the exponents of x7 in the bottom and
the exponent of x5 in the top as x2
in the bottom: 




Now multiply every exponent inside the parentheses,
top and bottom by the outer exponent 



Erase the 1 exponents:



Write the fractional exponents as cube roots:



Write y10 and y9y



Take the cube root of y9 out as y3 in front:


 
Rationalize the denominator by multiplying top and bottom by 









Edwin