For this case we have the following expression:
(xy ^ -6) / (x ^ -4y ^ 2)
By power properties we can rewrite the expression as:
(x * x ^ 4) / (y ^ 6 * y ^ 2)
Then, for power properties:
Same exponents are added:
(x ^ (4 + 1)) / (y ^ (6 + 2))
(x ^ 5) / (y ^ 8)
Answer:
An expression after the negative exponents have been eliminated is:
(x ^ 5) / (y ^ 8)