What is the simplified form of ((2⁢x^2⁢y^−3)^3)/(4⁢x^5⁢y^−2) ?

Raise each factor in the numerator to the third power: (2x²y⁻³)³ = 8x⁶y⁻⁹. Then divide coefficients and subtract exponents for matching bases: 8/4 = 2, x⁶/x⁵ = x, and y⁻⁹/y⁻² = y⁻⁷. Since y⁻⁷ = 1/y⁷, the simplified form is 2x/y⁷, which is choice B.

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