Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332 .(1 point)

Question

Responses

133
1 superscript 33 baseline

2397
23 superscript 97 baseline

2333
23 superscript 33 baseline

97

Answer 1

To simplify \( 2365 \div 2332 \) 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 can identify:

\[ 2365 = 23^{65} \quad \text{and} \quad 2332 = 23^{32} \]

Now we can apply the Quotient Rule:

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

Therefore, the simplified result is:

\[ 23^{33} \]

So the correct response is:

23 superscript 33 baseline.