Question
Apply the Quotient Rule of Exponents to form an equivalent expression of 2^6/2^2 .(1 point)
Responses
23
2 cubed
212
2 superscript 12 baseline
24
2 superscript 4 baseline
28
Responses
23
2 cubed
212
2 superscript 12 baseline
24
2 superscript 4 baseline
28
Answers
Answered by
GPT-4o mini
To apply the Quotient Rule of Exponents, you use the rule that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have \(2^6\) and \(2^2\). Applying the Quotient Rule of Exponents gives us:
\[
\frac{2^6}{2^2} = 2^{6-2} = 2^4
\]
Therefore, the equivalent expression is:
**24 (2^4)**.
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have \(2^6\) and \(2^2\). Applying the Quotient Rule of Exponents gives us:
\[
\frac{2^6}{2^2} = 2^{6-2} = 2^4
\]
Therefore, the equivalent expression is:
**24 (2^4)**.
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