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Simplify (2x2y3/4xy4)4

4x3y9/4xy4

x2/2y7

4x6y7/8xy4

Option A is incorrect because the exponents are not correctly multiplied, resulting in an incorrect final answer.

Option B is incorrect because only the exponents of x and y are simplified, leaving the numerical 2 and 4 unchanged.

Option D is incorrect because the exponents of x and y are multiplied but the numerical 8 is not properly raised to the 4th power.

The correct answer is C because both the numerical and variable parts are correctly simplified by multiplying the exponents. Therefore, the final answer is 4x6y7/8xy4.

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8x3y12/4xy4

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