Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32 .(1 point)

Question

Responses

23^97
23 superscript 97 baseline

97
97

23^33
23 superscript 33 baseline

1^33
1 superscript 33 baseline

Answer 1

To simplify \( 23^{65} \div 23^{32} \) using the Quotient Rule of Integer Exponents, we apply the rule that states:

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

In this case, \( a = 23 \), \( m = 65 \), and \( n = 32 \). Applying the rule, we have:

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

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

The correct response is:

23^33 (23 superscript 33 baseline)