8. \(\left(\frac{a^2}{b}\right)^3 \cdot b^2\) = \(\frac{a^6}{b^3} \cdot b^2\) = \(a^6 \cdot b^{2-3}\) = \(a^6 \cdot b^{-1}\) = \(\frac{a^6}{b}\)
Ответ: \(\frac{a^6}{b}\)