Question

which expression is equivalent to \\(\left(11^{-6}\
ight)^3\\)?\\(11^{-3}\\)\\(\frac{1}{11^{-3}}\\)\\(\frac{1}{11^{-18}}\\)\\(11^{-18}\\)

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use \((a^m)^n = a^{m\times n}\).
Here, \(a = 11\), \(m=-6\), \(n = 3\).

Step2: Apply the rule

Calculate \((11^{-6})^3=11^{-6\times3}=11^{-18}\).

Answer:

\(11^{-18}\) (the option with \(11^{-18}\))