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

23 to the power of 33
23 superscript 33 baseline

23 to the power of 97
23 superscript 97 baseline

1 to the power of 33
1 superscript 33 baseline

97

Answer 1

To simplify \( 23^{65} \div 23^{32} \) using the Quotient Rule of Integer Exponents, we subtract the exponent of the denominator from the exponent of the numerator:

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

So, the simplified expression is:

\[
23^{33}
\]

Therefore, the correct response is:

**23 to the power of 33**
**23 superscript 33 baseline**