190. $\frac{x^9}{(x^3)^4}$, $x=\frac{2}{3}$.

Question

Вопрос: $Фото задания: 190. $\frac{x^9}{(x^3)^4}$, $x=\frac{2}{3}$.$ Фото задания

Accepted Answer

\[\frac{x^9}{(x^3)^4}=\frac{x^9}{x^{12}}=x^{-3}.\]

\[x^{-3}=\left(\frac{2}{3}\right)^{-3}=\left(\frac{3}{2}\right)^3=\frac{27}{8}.\]

Ответ: $\frac{27}{8}$.

190. \(\frac{x^9}{(x^3)^4}\), \(x=\frac{2}{3}\).