How do you simplify (\frac { - x ^ { 4} y ^ { 4} \cdot - x ^ { - 2} y ^ { 3} } { - x y ^ { - 1} } ) ^ { 4}?

1 Answer
Jul 24, 2018

x^4y^32

Explanation:

((-x^4y^4*-x^(-2)y^3)/(-xy^(-1)))^4

Numerator:
-x^4y^4*-x^(-2)y^3
=-x^4y^4times-y^3/x^2
=x^2y^7

Denominator:
-xy^(-1)
=-x/y

Therefore,
((-x^4y^4*-x^(-2)y^3)/(-xy^(-1)))^4 becomes ((x^2y^7)/(-x/y))^4
=((x^2y^7)times-y/x)^4
=(-xy^8)^4
=x^4y^32