Question

Use the Power Rule of Exponents to simplify the expression (73)9
.(1 point)
Responses

727
7 to the 27th power

712
7 to the 12th power

76
7 to the 6th power

219

Answer 1

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 apply it as follows:

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

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

The correct response is:

**7 to the 27th power.**