Using the rules of exponents, we can simplify the expression as follows:
(3x^3y^-4)^-2
= 3^-2 * (x^3)^-2 * (y^-4)^-2
= 1/(3^2) * x^(3 * -2) * y^(-4 * -2)
= 1/9 * x^(-6) * y^8
Therefore, the equivalent expression is:
1/9 * x^(-6) * y^8
Which expression is equivalent to (3x^3y^-4)^-2
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