Question

Complete the puzzle by clicking on the puzzle piece that contains equivalent expression.

Answer 1

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

  $\left(\dfrac{x}{y}\right)^2(-x^2y)^3=\\\\\dfrac{x^2(-1)^3(x^2)^3y^3}{y^2}=-x^{2+2\cdot3}y^{3-2}=-x^8y$

This expression does not match any of those offered.

When x=-1 and y=5, this becomes ...

  $-(-1)^8(5)=\boxed{-5}$