Question

simplify. express your answer using a single exponent.\\((c^{-8})^{-3}\\)

Explanation:

Step1: Recall exponent rule \((a^m)^n = a^{m\times n}\)

For \((c^{-8})^{-3}\), apply the rule: \(m = -8\), \(n = -3\), so we calculate \(-8\times(-3)\).

Step2: Calculate the product of exponents

\(-8\times(-3)=24\), so \((c^{-8})^{-3}=c^{24}\).

Answer:

\(c^{24}\)