Use the Power Rule of Exponents to simplify the expression.

(7^3)^9


(1 point)
Responses

712
7 to the 12th power

76
7 to the 6th power

727
7 to the 27th power

219
21 to the 9th power
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1 answer

To simplify the expression \((7^3)^9\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can proceed as follows:

\[ (7^3)^9 = 7^{3 \cdot 9} = 7^{27} \]

So the simplified expression is \(7^{27}\).

Therefore, the correct response is:

7 to the 27th power