To simplify the expression using the Quotient Rule of Integer Exponents, we first understand that the Quotient Rule states:
\[ \frac{a^m}{a^n} = a^{m-n} \]
For the expression \( \frac{12^{53}}{7^{53}} \), we can apply the rule to simplify it:
\[ \frac{12^{53}}{7^{53}} = \left(\frac{12}{7}\right)^{53} \]
Since the problem may ask to further simplify or express the result in some way, among the choices you provided, this expression fits most closely with:
1253 ÷ 753 or 12 superscript 53 baseline divided by 7 superscript 53 baseline.
This indicates that the fraction of powers has been accurately expressed. Other options do not represent the expression we derived.
So, the simplified expression is best represented as:
12 superscript 53 baseline divided by 7 superscript 53 baseline.