To simplify the expression \( \frac{12^{53}}{7^{53}} \) using the Quotient Rule of Integer Exponents, you can apply the rule that states:
\[ \frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m \]
In this case, \( a = 12 \), \( b = 7 \), and \( m = 53 \). So,
\[ \frac{12^{53}}{7^{53}} = \left(\frac{12}{7}\right)^{53} \]
None of the provided responses match this expression exactly, but \( \frac{12^{53}}{7^{53}} \) is one of the responses given. Therefore, the most direct answer to report would be:
12^53÷7^53