48х^5у^6:(-16х^3у^3)

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To simplify this expression, we can divide each term in the numerator by the term in the denominator:

(48x^5y^6) / (-16x^3y^3)

First, let's simplify the coefficients:
48 / (-16) = -3

Now, simplify the variables:
x^5 / x^3 = x^(5-3) = x^2
y^6 / y^3 = y^(6-3) = y^3

Therefore, the simplified expression is -3x^2y^3.