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Answer :
Final answer:
The given expression simplifies to 7x^(4)y^(2) + 5x^(2)y -16/9 by dividing each term in the numerator by the denominator, and subtracting the exponents.
Explanation:
The expression (21x^(6)y^(4)+45x^(4)y^(3)-16x^(2)y^(2))/(9x^(2)y^(2)) simplifies by dividing each term in the numerator by the denominator. The result is 7x^(4)y^(2) + 5x^(2)y -16/9.
This simplification is a basic operation in algebra. To simplify, divide each term in the numerator by the denominator separately. The exponent in the denominator is subtracted from the corresponding exponent in the numerator.
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