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Simplify (2x2y3/4xy4)4

  1. 4x3y9/4xy4

  2. x2/2y7

  3. 4x6y7/8xy4

  4. 8x3y12/4xy4

The correct answer is: 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.