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:
- Identify the base and the exponents: Here, the base is \(7\), with an exponent of \(3\) raised to \(9\).
- 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