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

Responses

97
97

1^33
1 superscript 33 baseline

23^33
23 superscript 33 baseline

23^97

1 answer

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, we have:

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

So, the simplified form is:

\[ 23^{33} \]

The correct response is:

23^33

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