Ответ:

  1. \(10^2-7^2=100-49=51\).
  2. \(5^3-5^2=125-25=100\).
  3. \(42^2:14-4^2\cdot6=1764:14-16\cdot6=126-96=30\).
  4. \(8^3:4^2-2^3=512:16-8=32-8=24\).
  5. \(25^2:(24^2+7^2)=625:(576+49)=625:625=1\).
  6. \(10^3-10^2+9^3=1000-100+729=1629\).

Ответ: 1) 51; 2) 100; 3) 30; 4) 24; 5) 1; 6) 1629.