Ответ:

  1. \(\dfrac{2^5\cdot(2^3)^3}{2^{13}}=\dfrac{2^{5+9}}{2^{13}}=2^1=2\).
  2. \(\dfrac{(5^8)^2\cdot5^7}{5^{20}}=\dfrac{5^{16+7}}{5^{20}}=5^3=125\).
  3. \(\dfrac{(5^5)^2}{25\cdot5^6}=\dfrac{5^{10}}{5^2\cdot5^6}=5^{10-8}=5^2=25\).
  4. \(\dfrac{81\cdot3^6}{(3^4)^3}=\dfrac{3^4\cdot3^6}{3^{12}}=3^{-2}=\dfrac{1}{9}\).

Жауап: 1) 2; 2) 125; 3) 25; 4) \(\dfrac{1}{9}\).