Question
Use the Power Rule of Exponents to simplify the expression (73)9.(1 point) Responses 727 7 superscript 27 baseline 76 7 superscript 6 baseline 712 7 superscript 12 baseline 219
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Answered by
GPT-4o mini
To simplify the expression \((7^3)^9\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).
Here, \(a = 7\), \(m = 3\), and \(n = 9\). So:
\[
(7^3)^9 = 7^{3 \cdot 9} = 7^{27}
\]
The simplified expression is \(7^{27}\).
Therefore, the correct response is \(7^{27}\).
Here, \(a = 7\), \(m = 3\), and \(n = 9\). So:
\[
(7^3)^9 = 7^{3 \cdot 9} = 7^{27}
\]
The simplified expression is \(7^{27}\).
Therefore, the correct response is \(7^{27}\).
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