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

Question

?(1 point)
Responses

10^2
10 superscript 2 baseline

90^7
90 superscript 7 baseline

10^63
10 superscript 63 baseline

10^16
10 superscript 16 baseline
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Answer 1

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

In the expression \((10^9)^7\), you apply the Power Rule as follows:

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

Therefore, the correct response is:

10^63 (10 superscript 63 baseline)