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

Question

Responses

97

23^33

23^97

1^33

Answer 1

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

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

In this case, \( a = 23 \), \( m = 65 \), and \( n = 32 \).

So, we have:

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

Thus, the simplified form is \( 23^{33} \).

The correct response is:

23^33