Question
Using the Quotient Rule of Exponents, what is an equivalent form of 2^6÷2^3?(1 point)
Responses
218
2 superscript 18 baseline
23
2 cubed
22
2 squared
29
Responses
218
2 superscript 18 baseline
23
2 cubed
22
2 squared
29
Answers
GPT-4o mini
To simplify \( 2^6 \div 2^3 \) using the Quotient Rule of Exponents, you subtract the exponents:
\[
a^m \div a^n = a^{m-n}
\]
In this case:
\[
2^6 \div 2^3 = 2^{6-3} = 2^3
\]
So, the equivalent form of \( 2^6 \div 2^3 \) is \( 2^3 \), which is also referred to as "2 cubed."
The correct response is:
\( 2^3 \) (2 cubed)
\[
a^m \div a^n = a^{m-n}
\]
In this case:
\[
2^6 \div 2^3 = 2^{6-3} = 2^3
\]
So, the equivalent form of \( 2^6 \div 2^3 \) is \( 2^3 \), which is also referred to as "2 cubed."
The correct response is:
\( 2^3 \) (2 cubed)