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

?(1 point)
Responses

10 16
10 superscript 16 baseline

90 7
90 superscript 7 baseline

10 63
10 superscript 63 baseline

10 2
10 superscript 2 baseline
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
5 hours ago

To use the Power Rule of Exponents correctly, we need to understand that \((a^m)^n = a^{m \cdot n}\).

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

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

Therefore, the correct response that uses the Power Rule of Exponents in the expression \((10^9)^7\) is:

10 superscript 63 baseline