What is the simplified form of (2⁢x^3⁢y^−2)⋅(3⁢x^−1⁢y^4) ?

Multiply the coefficients: 2 · 3 = 6. For matching bases, add the exponents: x has exponent 3 + (−1) = 2, and y has exponent −2 + 4 = 2, giving 6x²y², choice C.

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