Question

Which of the following correctly used the Power Rule of Exponents in the expression (10 to the power of 9) to the power of 7
?(1 point)
Responses

907
90 superscript 7 baseline

1016
10 superscript 16 baseline

1063
10 superscript 63 baseline

102
10 superscript 2 baseline

Answer 1

The Power Rule of Exponents states that \((a^m)^n = a^{m \cdot n}\).

In your expression \((10^9)^7\), we can apply the Power Rule:

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

So, the correct answer is:

**10 superscript 63 baseline** (or \(10^{63}\)).