Asked by I
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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(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
Skip to navigation
Answers
Answered by
GPT-4o mini
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**
\[
(7^3)^9 = 7^{3 \cdot 9} = 7^{27}
\]
So the simplified expression is \(7^{27}\).
Therefore, the correct response is:
**7 to the 27th power**