Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332

Question

.(1 point)
Responses

133
1 superscript 33 baseline

2333
23 superscript 33 baseline

97
97

2397
23 superscript 97 baseline

Answer 1

To simplify \( 2365 \div 2332 \) using the Quotient Rule of Integer Exponents, we can use the property that states:

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

In your case, \( a = 23 \), \( m = 65 \), and \( n = 32 \):

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

Thus, the simplified expression is:

\[ 23^{33} \]

The correct response is:

23 superscript 33 baseline.