Question

Using the Power Rule of Exponents, what is an equivalent form of (66)3 ? (1 point)Responses6186 superscript 18 baseline626 squared636 cubed69

Answer 1

To use the Power Rule of Exponents, we apply the rule that states \( (a^m)^n = a^{m \cdot n} \).

In the case of \( (6^6)^3 \):

1. We have \( 6^6 \) raised to the power of 3.
2. According to the Power Rule, we multiply the exponents:

\[
(6^6)^3 = 6^{6 \cdot 3} = 6^{18}
\]

So, the equivalent form of \( (6^6)^3 \) is \( 6^{18} \).

The correct response is \( 6^{18} \).