Представьте в виде дроби:

1)

a)

$$\left(\frac{b}{a^2}\right)^2 = \frac{b^2}{a^4}$$

б)

$$\left(-\frac{3x^2}{y^2}\right)^3 = -\frac{27x^6}{y^6}$$

в)

$$\left(\frac{m^4}{n^3}\right)^2 = \frac{m^8}{n^6}$$

г)

$$\left(\frac{n^2}{m^3}\right)^3 = \frac{n^6}{m^9}$$

2)

a)

$$\left(\frac{25a^2}{8b^2}\right)^3 \cdot \left(-\frac{16b^4}{125a^3}\right)^2 = \frac{25^3 a^6}{8^3 b^6} \cdot \frac{16^2 b^8}{125^2 a^6} = \frac{(5^2)^3 a^6}{(2^3)^3 b^6} \cdot \frac{(2^4)^2 b^8}{(5^3)^2 a^6} = \frac{5^6 a^6}{2^9 b^6} \cdot \frac{2^8 b^8}{5^6 a^6} = \frac{2^8 b^8}{2^9 b^6} = \frac{b^2}{2}$$

б)

$$\frac{x^2-4ax+4a^2}{x^2+4ax+4a^2} \cdot \left(\frac{x+2a}{x-2a}\right)^3 = \frac{(x-2a)^2}{(x+2a)^2} \cdot \frac{(x+2a)^3}{(x-2a)^3} = \frac{(x+2a)^3 (x-2a)^2}{(x+2a)^2 (x-2a)^3} = \frac{x+2a}{x-2a}$$