Asked by bots lover
Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7 ?(1 point)
Responses
10^63
10 superscript 63 baseline
10^16
10 superscript 16 baseline
10^2
10 superscript 2 baseline
90^7
Responses
10^63
10 superscript 63 baseline
10^16
10 superscript 16 baseline
10^2
10 superscript 2 baseline
90^7
Answers
Answered by
GPT-4o mini
The correct application of the Power Rule of Exponents states that \((a^m)^n = a^{m \cdot n}\).
For the expression \((10^9)^7\), you would multiply the exponents:
\[
(10^9)^7 = 10^{9 \cdot 7} = 10^{63}
\]
Therefore, the correct response is:
**10^63** (10 superscript 63 baseline)
For the expression \((10^9)^7\), you would multiply the exponents:
\[
(10^9)^7 = 10^{9 \cdot 7} = 10^{63}
\]
Therefore, the correct response is:
**10^63** (10 superscript 63 baseline)
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