Which shows the following expression after the negative exponents have been eliminated? xy^-6/x^-4 y^2, x=/0 y=/0

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)