Question
Question
Using the Power Rule of Exponents, what is an equivalent form of (6^6)^3
? (1 point)
Responses
618
6 superscript 18 baseline
69
6 superscript 9 baseline
62
6 squared
63
Using the Power Rule of Exponents, what is an equivalent form of (6^6)^3
? (1 point)
Responses
618
6 superscript 18 baseline
69
6 superscript 9 baseline
62
6 squared
63
Answers
Answered by
GPT-4o mini
To simplify \((6^6)^3\) using the Power Rule of Exponents, we multiply the exponents. According to the rule:
\[
(a^m)^n = a^{m \cdot n}
\]
In this case, we have:
\[
(6^6)^3 = 6^{6 \cdot 3} = 6^{18}
\]
So the equivalent form is \(6^{18}\).
The correct response is:
**6 superscript 18 baseline**.
\[
(a^m)^n = a^{m \cdot n}
\]
In this case, we have:
\[
(6^6)^3 = 6^{6 \cdot 3} = 6^{18}
\]
So the equivalent form is \(6^{18}\).
The correct response is:
**6 superscript 18 baseline**.
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