Question

$$(a^6)^3$$

Explanation:

Step1: Recall the power of a power rule

The power of a power rule states that \((a^m)^n = a^{m\times n}\). Here, we have \((a^6)^3\), where \(m = 6\) and \(n=3\).

Step2: Apply the power of a power rule

Using the formula \((a^m)^n=a^{m\times n}\), substitute \(m = 6\) and \(n = 3\) into it. So we calculate \(6\times3=18\), and then \((a^6)^3=a^{6\times3}=a^{18}\).

Answer:

\(a^{18}\)