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