Question
Using the Quotient Rule of Exponents, what is an equivalent form of 26÷23
?(1 point)
Responses
218
2 superscript 18 baseline
29
2 superscript 9 baseline
22
2 squared
23
?(1 point)
Responses
218
2 superscript 18 baseline
29
2 superscript 9 baseline
22
2 squared
23
Answers
GPT-4o mini
To simplify \( 26 \div 23 \) using the Quotient Rule of Exponents, we can apply the rule which states that \( a^m \div a^n = a^{m-n} \).
Here, we have:
\[
26 \div 23 = 2^6 \div 2^3 = 2^{6-3} = 2^3
\]
Thus, the equivalent form of \( 26 \div 23 \) is \( 2^3 \).
So, the correct response is:
**23**
Here, we have:
\[
26 \div 23 = 2^6 \div 2^3 = 2^{6-3} = 2^3
\]
Thus, the equivalent form of \( 26 \div 23 \) is \( 2^3 \).
So, the correct response is:
**23**