Выполни упрощение у выраз дробей, выполни действия

1. a) $$\left(-\frac{3m^2n}{7}\right)^2 = \frac{9m^4n^2}{49}$$ $$\left(\frac{c^3m}{2a^2}\right)^6 = \frac{c^{18}m^6}{64a^{12}}$$ 2. 1) $$\frac{x^2 - 2x + 4}{x^2 + 4} \cdot \frac{8 + x^3}{16 - x^4} = \frac{x^2 - 2x + 4}{x^2 + 4} \cdot \frac{(2 + x)(4 - 2x + x^2)}{(4 - x^2)(4 + x^2)} = \frac{(x + 2)(x^2 - 2x + 4)}{(4 + x^2)(4 - x^2)} = \frac{x^3 + 8}{(4 + x^2)(4 - x^2)}$$ 3. $$\frac{a^2 + 8a + 16}{a^2 - 4a + 4} \cdot \frac{7a - 14}{a^2 - 16} = \frac{(a + 4)^2}{(a - 2)^2} \cdot \frac{7(a - 2)}{(a - 4)(a + 4)} = \frac{7(a + 4)}{(a - 2)(a - 4)}$$ 4. $$\frac{x^2 + ax - cx - ac}{x^2 - ax + cx - ac} : \frac{x^2 + ac - xc - xa}{x^2 + ac + xc + xa} = \frac{(x + a)(x - c)}{(x - a)(x + c)} : \frac{(x - c)(x - a)}{(x + c)(x + a)} = \frac{(x + a)(x - c)}{(x - a)(x + c)} \cdot \frac{(x + c)(x + a)}{(x - c)(x - a)} = \frac{(x + a)^2}{(x - a)^2}$$ **Ответ:** 1. a) $$\frac{9m^4n^2}{49}$$, $$\frac{c^{18}m^6}{64a^{12}}$$ 2. 1) $$\frac{x^3 + 8}{(4 + x^2)(4 - x^2)}$$ 3. $$\frac{7(a + 4)}{(a - 2)(a - 4)}$$ 4. $$\frac{(x + a)^2}{(x - a)^2}$$