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