Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332 .(1 point) Responses 133 1 superscript 33 baseline 97 97 2333 23 superscript 33 baseline 2397 23 superscript 97 baseline

Answer 1

To simplify \( 2365 \div 2332 \) using the Quotient Rule of Integer Exponents, we start by applying the rule that states:

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

Here, we can rewrite \( 2365 \) as \( 23^{65} \) and \( 2332 \) as \( 23^{32} \):

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

Thus, the simplified form of \( 2365 \div 2332 \) is:

\[ 23^{33} \]

So the correct response is \( 23^{33} \).