Which of the following correctly used the power rule of exponents in the expression (10 to the ninth power) to the power of 7

Answer 1

The power rule of exponents states that \((a^m)^n = a^{m \cdot n}\). Therefore, in the expression \((10^9)^7\), we can apply this rule.

Using the power rule, we have:

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

So, the correct usage of the power rule in this expression gives us \(10^{63}\).