Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7 ?

Question

A. 10^2
B. 90^7
C. 10^16
D. 10^63

Answer 1

To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can simplify the expression \((10^9)^7\) as follows:

\[ (10^9)^7 = 10^{9 \cdot 7} = 10^{63} \]

Therefore, the correct answer is:

D. \(10^{63}\)