Question

Question

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

23^97

97
97

23^33

1^33

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 \( n = 32 \). Thus, 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.