Question
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32
1^33
23^97
97
23^33
1^33
23^97
97
23^33
Answers
GPT-4o mini
To simplify \( 23^{65} \div 23^{32} \) using the Quotient Rule of Integer Exponents, you can subtract the exponent of the denominator from the exponent of the numerator:
\[
a^m \div a^n = a^{m-n}
\]
In this case:
\[
23^{65} \div 23^{32} = 23^{65 - 32} = 23^{33}
\]
Therefore, the simplified result is:
\[
\boxed{23^{33}}
\]
\[
a^m \div a^n = a^{m-n}
\]
In this case:
\[
23^{65} \div 23^{32} = 23^{65 - 32} = 23^{33}
\]
Therefore, the simplified result is:
\[
\boxed{23^{33}}
\]