(3 х^-1 / 4 y^-3 )^-1 * 6ху / - дробь

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To simplify the given expression, we first need to understand the rules of exponents and how to simplify negative exponents.

Given expression: (3x^-1 / 4y^-3)^-1 * 6xy / -fraction

Step 1: Simplify the expression inside the parentheses with negative exponents.
(3x^-1 / 4y^-3)^-1 = (4y^3 / 3x) = 4y^3 / 3x

Step 2: Multiply the simplified expression by 6xy and simplify the negative fraction.
(4y^3 / 3x) * 6xy = 24x^2y^4 / 3 = 8x^2y^4

Therefore, the simplified expression is 8x^2y^4.