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To simplify the expression 12^53 ÷ 7^53 using the Quotient Rule of Integer Exponents, we subtract the exponents:
12^53 ÷ 7^53 = 12^(53-53) ÷ 7^(53-53) = 12^0 ÷ 7^0
Any number raised to the power of 0 is equal to 1, so we have:
12^0 ÷ 7^0 = 1 ÷ 1 = 1
The simplified expression is 1.