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5 answers
To simplify \( \frac{2365}{2332} \) using the Quotient Rule of Integer Exponents, we can apply the rule which states that:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case, we have:
\[ \frac{2^{365}}{2^{332}} = 2^{365 - 332} = 2^{33} \]
Therefore, the simplified form is:
\[ 2^{33} \]
If we are to express this as a numerical response, the correct response is:
23 superscript 33 baseline (or better understood as \(2^{33}\)).
The correct steps to simplify an exponential expression using the Quotient Rule of Integer Exponents are as follows:
- Check if the bases are the same.
- If they are, subtract the exponents of the numerator from the exponent of the denominator.
- Write the resulting expression in exponential form.
So, the correct option would be:
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.