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

1 answer

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 \( 6^{18} \).