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

Question

.(1 point)
Responses

7^27
7 to the 27th power

7^6
7 to the 6th power

21^9
21 to the 9th power

7^12

Answer 1

To simplify the expression \((7^3)^9\) using the Power Rule of Exponents, you multiply the exponents:

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

So, the simplified expression is:

7^27
7 to the 27th power