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

Answer:

An expression that is equivalent when x = 0 and y = 0 is:

0