Question

simplify. express your answer using a single exponent. \\((r^{-7})^{-11}\\)

Explanation:

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

Here, \(a = r\), \(m = -7\), \(n = -11\). So we multiply the exponents: \((-7)\times(-11)\).

Step2: Calculate the product of exponents

\((-7)\times(-11)=77\). So \((r^{-7})^{-11}=r^{77}\).

Answer:

\(r^{77}\)