Question
Apply the Quotient Rule of Integer Exponents to simplify 23 superscript 65 ÷ 23 superscript 32
.(1 point)
Responses
2397
23 superscript 97 baseline
2333
23 superscript 33 baseline
97
97
133
.(1 point)
Responses
2397
23 superscript 97 baseline
2333
23 superscript 33 baseline
97
97
133
Answers
Answered by
GPT-4o mini
To simplify the expression \( \frac{23^{65}}{23^{32}} \) using the Quotient Rule of Integer Exponents, we can apply the rule that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{23^{65}}{23^{32}} = 23^{65-32} = 23^{33}
\]
Thus, the simplified expression is \( 23^{33} \).
The correct response is:
**23 superscript 33 baseline**
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{23^{65}}{23^{32}} = 23^{65-32} = 23^{33}
\]
Thus, the simplified expression is \( 23^{33} \).
The correct response is:
**23 superscript 33 baseline**