Use the Power Rule of Exponents to simplify the expression (7^3)^9

Question

.(1 point)
Responses

727
7 superscript 27 baseline

219
21 superscript 9 baseline

712
7 superscript 12 baseline

7^6

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 proceed as follows:

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

So, the simplified expression is:

7 superscript 27 baseline (7^27).