Ответ:

  1. \(2^5\cdot5^5=(2\cdot5)^5=10^5=100000\)
  2. \(14^6\cdot\left(\frac17\right)^6=\left(14\cdot\frac17\right)^6=2^6=64\)
  3. \(0.25^9\cdot4^9=(0.25\cdot4)^9=1\)
  4. \((2^2)^3:2^3=2^6:2^3=2^3=8\)
  5. \(\frac{(2^{10})^2:2^7}{2^7}=2^{20-7-7}=2^6=64\)
  6. \(\frac{5^{13}\cdot5^7}{(5^4)^5}=5^{20-20}=1\)
  7. \(\frac{3^{10}\cdot(3^3)^3}{3^{16}}=3^{10+9-16}=3^3=27\)
  8. \(\frac{(2^4)^3\cdot(2^5)^2}{(2^3)^6}=2^{12+10-18}=2^4=16\)
  9. \(2^3\cdot4^3=2^3\cdot2^6=2^9=512\)
  10. \(16^2\cdot4^3:8^4=2^8\cdot2^6:2^{12}=2^2=4\)
  11. \(625\cdot5^7:125^3=5^4\cdot5^7:5^9=5^2=25\)
  12. \(100^3\cdot10^{12}\cdot1000^4=10^6\cdot10^{12}\cdot10^{12}=10^{30}\)
  13. \(\frac{(2^2)^9\cdot8}{2^{20}}=2^{18+3-20}=2\)
  14. \(\frac{27\cdot(3^4)^6}{3^{20}\cdot3^5}=3^{3+24-25}=3^2=9\)
  15. \(\frac{5^{15}\cdot5^{12}}{125\cdot(5^8)^3}=\frac{5^{27}}{5^{3+24}}=1\)