Ответ:

  1. \(10^{-3}:0{,}001=0{,}001:0{,}001=1\).
  2. \(13^0\cdot13^{-2}:13^{-4}=13^{0-2-(-4)}=13^2=169\).
  3. \(\dfrac{(3^{-2})^{-2}\cdot9^{-1}}{27}=\dfrac{3^4\cdot3^{-2}}{3^3}=3^{-1}=\dfrac{1}{3}\).
  4. \(\dfrac{25^{-2}\cdot125}{5^3}=\dfrac{5^{-4}\cdot5^3}{5^3}=5^{-4}=\dfrac{1}{625}\).

Ответ: 1) 1; 2) 169; 3) \(\frac{1}{3}\); 4) \(\frac{1}{625}\).