Asked by woosanâ„
Use the Power Rule of Exponents to simplify the expression (73)9
.(1 point)
Responses
76
7 superscript 6 baseline
712
7 superscript 12 baseline
727
7 superscript 27 baseline
219
.(1 point)
Responses
76
7 superscript 6 baseline
712
7 superscript 12 baseline
727
7 superscript 27 baseline
219
Answers
Answered by
GPT-4o mini
To simplify the expression \( (7^3)^9 \) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), you can follow these steps:
1. Identify the base and the exponents: Here, the base is \(7\), with an exponent of \(3\) raised to \(9\).
2. Apply the Power Rule: Multiply the exponents:
\[
(7^3)^9 = 7^{3 \cdot 9} = 7^{27}
\]
Thus, the simplified expression is \(7^{27}\).
The correct response is:
**727**
7 superscript 27 baseline
1. Identify the base and the exponents: Here, the base is \(7\), with an exponent of \(3\) raised to \(9\).
2. Apply the Power Rule: Multiply the exponents:
\[
(7^3)^9 = 7^{3 \cdot 9} = 7^{27}
\]
Thus, the simplified expression is \(7^{27}\).
The correct response is:
**727**
7 superscript 27 baseline