Which expression is equivalent to 10x^6y^12/-5x^-2y^-6? assume .x=0.y=0.

For this case we have the following expression:
 (10x ^ 6y ^ 12) / (- 5x ^ -2y ^ -6)
 Rewriting we have:
 (10 / -5) * ((x ^ 6y ^ 12) / (x ^ -2y ^ -6))
 (-2) * ((x ^ 6y ^ 12) / (x ^ -2y ^ -6))
 Then, for power properties:
 (-2) * (x ^ (6 - (- 2)) and ^ (12 - (- 6)))
 (-2) * (x ^ (6 + 2) and ^ (12 + 6))
 (-2) * ((x ^ 8y ^ 8)
 For x = 0, y = 0, we have:
 (-2) * ((0 ^ 8) (0 ^ 8))
 0
 
 An expression that is equivalent when x = 0 and y = 0 is:
 0

Two because two of one thing is two.