1.66. Дерешьте шығарынды өрнектерді. 1) (xy/a)⁵ 2) (−c/ab)³ 3) (x²y/ab)⁴ 4) (an/m)⁷ 5) (p²/q³)³ 6) (−y/x)⁵ 7) (xy/bc)³ 8) (−2ab/3x)⁵

Используем правило возведения дроби в степень: \(\left(\frac{u}{v}\right)^n=\frac{u^n}{v^n}\).

1. \(\left(\frac{xy}{a}\right)^5=\frac{x^5y^5}{a^5}\).
2. \(\left(-\frac{c}{ab}\right)^3=-\frac{c^3}{a^3b^3}\).
3. \(\left(\frac{x^2y}{ab}\right)^4=\frac{x^8y^4}{a^4b^4}\).
4. \(\left(\frac{an}{m}\right)^7=\frac{a^7n^7}{m^7}\).
5. \(\left(\frac{p^2}{q^3}\right)^3=\frac{p^6}{q^9}\).
6. \(\left(-\frac{y}{x}\right)^5=-\frac{y^5}{x^5}\).
7. \(\left(\frac{xy}{bc}\right)^3=\frac{x^3y^3}{b^3c^3}\).
8. \(\left(-\frac{2ab}{3x}\right)^5=-\frac{2^5a^5b^5}{3^5x^5}=-\frac{32a^5b^5}{243x^5}\).

Ответ: 1) \(\frac{x^5y^5}{a^5}\); 2) \(-\frac{c^3}{a^3b^3}\); 3) \(\frac{x^8y^4}{a^4b^4}\); 4) \(\frac{a^7n^7}{m^7}\); 5) \(\frac{p^6}{q^9}\); 6) \(-\frac{y^5}{x^5}\); 7) \(\frac{x^3y^3}{b^3c^3}\); 8) \(-\frac{32a^5b^5}{243x^5}\).