Answer:
-5 when ...
Step-by-step explanation:
The rules of exponents can help you simplify the given product.
Rules
(a/b)^c = (a^c)/(b^c)
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
Application
[tex]\left(\dfrac{x}{y}\right)^2(-x^2y)^3=\\\\\dfrac{x^2(-1)^3(x^2)^3y^3}{y^2}=-x^{2+2\cdot3}y^{3-2}=-x^8y[/tex]
This expression does not match any of those offered.
When x=-1 and y=5, this becomes ...
[tex]-(-1)^8(5)=\boxed{-5}[/tex]
