Apply the Quotient Rule of Integer Exponents to simplify 23 to the power of 65÷23 to the power of 32

To apply the Quotient Rule of Integer Exponents, we use the rule:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, we have:

\[ \frac{23^{65}}{23^{32}} = 23^{65 - 32} = 23^{33} \]

So, the simplified answer is:

23 superscript 33 baseline (or \( 23^{33} \)).