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