НПС. Выполнить действия: 1) \(\frac{x^5}{8y^4}\cdot16y\); 2) \(\frac{b^2}{2a}:\frac{2b}{8a^2}\); 3) \(\frac{x^2}{xy}:\frac{xy^2}{4x^2}\); 4) \(\frac{b-a}{5}:\frac{a}{5}\); 5) \(\frac{x+y}{4}\cdot\frac{x}{4}\); 6) \(\frac{24a^4}{b^3}:\frac{8a^4}{b^4}\); 7) \(21x^3y:\frac{7x^3y^2}{3}\).

1. \(\frac{x^5}{8y^4}\cdot16y=\frac{2x^5}{y^3}\).
2. \(\frac{b^2}{2a}\cdot\frac{8a^2}{2b}=2ab\).
3. \(\frac{x^2}{xy}\cdot\frac{4x^2}{xy^2}=\frac{4x^2}{y^3}\).
4. \(\frac{b-a}{5}\cdot\frac{5}{a}=\frac{b-a}{a}\).
5. \(\frac{x+y}{4}\cdot\frac{x}{4}=\frac{x(x+y)}{16}\).
6. \(\frac{24a^4}{b^3}\cdot\frac{b^4}{8a^4}=3b\).
7. \(21x^3y\cdot\frac{3}{7x^3y^2}=\frac{9}{y}\).

Ответ: \(\frac{2x^5}{y^3};\ 2ab;\ \frac{4x^2}{y^3};\ \frac{b-a}{a};\ \frac{x(x+y)}{16};\ 3b;\ \frac{9}{y}\).