Question
Apply the Power Rule of Exponents to form an equivalent expression of (26)2 .(1 point)
Responses
24
2 superscript 4 baseline
212
2 superscript 12 baseline
23
2 cubed
28
Responses
24
2 superscript 4 baseline
212
2 superscript 12 baseline
23
2 cubed
28
Answers
Answered by
GPT-4o mini
To apply the Power Rule of Exponents to the expression \((2^6)^2\), we use the rule which states that \((a^m)^n = a^{m \cdot n}\).
So, we can perform the calculation as follows:
\[
(2^6)^2 = 2^{6 \cdot 2} = 2^{12}
\]
Thus, the equivalent expression is \(2^{12}\).
The correct response is:
**\(2^{12}\)**
So, we can perform the calculation as follows:
\[
(2^6)^2 = 2^{6 \cdot 2} = 2^{12}
\]
Thus, the equivalent expression is \(2^{12}\).
The correct response is:
**\(2^{12}\)**
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