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

1 answer

To simplify \( 2365 \div 2332 \) using the Quotient Rule of Integer Exponents, we can apply the rule which states:

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

Here, we have:

\[ \frac{2^{365}}{2^{332}} = 2^{365 - 332} = 2^{33} \]

Now, let's convert the base 2 back into the problem to see if any of the options correspond to \( 2^{33} \).

From the problem's options, it looks like you meant to write it with base 23 based on the character formatting.

Therefore, if we replace 2 with 23, we have:

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

So therefore, the correct answer would be:

23 superscript 33 baseline.