To simplify \( \frac{2365}{2332} \) using the Quotient Rule of Integer Exponents, we start by recognizing the exponent rules.
The Quotient Rule states that for any non-zero number \( a \) and integers \( m \) and \( n \):
\[ \frac{a^m}{a^n} = a^{m-n} \]
In our case, we can rewrite the expression as follows, using \( 23 \) as the base:
\[ \frac{23^{65}}{23^{32}} = 23^{65 - 32} = 23^{33} \]
Thus, the simplified result is \( 23^{33} \).
So, the correct answer from the given options is:
23 superscript 33 baseline (or \( 23^{33} \)).
1 answer