For all x is not equal to 0 and y is not equal to 0, (2x^-3y^4)^3 / (4xy)^2 = ?
F. y^10 / 2
G. 2y^10 / x^10
H. y^10 / 2x^11
J. y^3 / 2x^2
K. y^9 / 4x^4
You have
2^3 x^-9 y^12
-----------------------
4^2 x^2 y^2
which is
y^10 / 2x^11
F. y^10 / 2
G. 2y^10 / x^10
H. y^10 / 2x^11
J. y^3 / 2x^2
K. y^9 / 4x^4
2^3 x^-9 y^12
-----------------------
4^2 x^2 y^2
which is
y^10 / 2x^11