Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332 .(1 point)%0D%0AResponses%0D%0A%0D%0A2333%0D%0A23 superscript 33 baseline%0D%0A%0D%0A2397%0D%0A23 superscript 97 baseline%0D%0A%0D%0A97%0D%0A97%0D%0A%0D%0A133

Answer 1

To simplify the expression \( \frac{2365}{2332} \) using the Quotient Rule of Integer Exponents, we can express both numbers in the form of exponents.

The Quotient Rule states that when dividing powers with the same base, we subtract the exponents:

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

In this case, we rewrite the expression as follows:

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

Thus, the simplified result is:

\[ 2^{33} \]

However, it seems the response options given (which are all in terms of the base 23) suggest there might be an alternative representation or error in interpreting the original question. If we need to convert the base from 2 to 23, we'll need further context or requirements. Assuming no such requirement exists, the final answer to the simplified expression \( \frac{2365}{2332} \) is \( 2^{33} \), which is not among the provided options. If the correct answer should be in terms of the number 23 instead of 2, please provide the correct base for clarification.

Answer 2

Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32 .(1 point)%0D%0AResponses%0D%0A%0D%0A2333%0D%0A23 superscript 33 baseline%0D%0A%0D%0A2397%0D%0A23 superscript 97 baseline%0D%0A%0D%0A97%0D%0A97%0D%0A%0D%0A133

Answer 3

To simplify the expression \( \frac{23^{65}}{23^{32}} \) using the Quotient Rule of Integer Exponents, we use the property that states:

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

In this case, we have:

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

So the simplified expression is \( 23^{33} \).

Among your response options, the correct answer is:

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

Answer 4

u sure

Answer 5

Yes, I'm sure!

To recap the simplification step:

You start with the expression:

\[ \frac{23^{65}}{23^{32}} \]

Using the Quotient Rule of Integer Exponents, you subtract the exponents:

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

So the simplified result is indeed \( 23^{33} \).

If that option is labeled in your responses as "23 superscript 33 baseline," that's the correct choice. If you have further questions or need clarification, feel free to ask!