To simplify \( \frac{2365}{2332} \) using the Quotient Rule of Integer Exponents, we start by recalling that the Quotient Rule states:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case, we have the base \( 23 \) with the exponents \( 65 \) and \( 32 \). Thus, we can rewrite the expression as:
\[ \frac{23^{65}}{23^{32}} = 23^{65 - 32} = 23^{33} \]
So the simplified expression is \( 23^{33} \).
The correct response from the provided options is:
1 superscript 33 baseline \( 23^{33} \).
1 answer