Using the Power Rule of Exponents, what is an equivalent form of (6^6)^3?%E2%80%AF(1 point)%0D%0AResponses%0D%0A%0D%0A62%0D%0A6 squared%0D%0A%0D%0A69%0D%0A6 superscript 9 baseline%0D%0A%0D%0A618%0D%0A6 superscript 18 baseline%0D%0A%0D%0A63

Answer 1

To simplify \((6^6)^3\) using the Power Rule of Exponents, you multiply the exponents. According to the rule:

\[ (a^m)^n = a^{m \cdot n} \]

In this case, \(a = 6\), \(m = 6\), and \(n = 3\). Thus, we have:

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

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

The correct response is: 6 superscript 18 baseline.