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

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 \( 23^{33} \)).

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