Question

simplify. express your answer using a single exponent. \\((k^{8})^{6}\\)

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, \(a = k\), \(m = 8\), and \(n = 6\).

Step2: Apply the power of a power rule

Using the rule \((k^8)^6\), we multiply the exponents: \(8\times6 = 48\). So, \((k^8)^6 = k^{8\times6}=k^{48}\).

Answer:

\(k^{48}\)