Ответ:

  1. \(\frac{1}{8^3}\cdot248+0.25\cdot4.4-2.34=\frac{248}{512}+1.1-2.34=0.484375-1.24=-0.755625\).
  2. \(\frac{1.5^2\cdot8-21}{(5-2)^2}+2.45=\frac{18-21}{9}+2.45=-\frac13+2.45=\frac{127}{60}\).
  3. \(\frac{2.5^2\cdot8-42.5}{9}+6.45=\frac{50-42.5}{9}+6.45=\frac56+6.45=\frac{437}{60}\).
  4. \(\frac{0.5^2\cdot8^3-4.5}{(5-4)^2}-2.45:4^{-1}=\frac{128-4.5}{1}-2.45\cdot4=123.5-9.8=113.7\).
  5. \(\frac{24^3-18^3}{88}+8^2=\frac{13824-5832}{88}+64=\frac{7992}{88}+64=90.81818\ldots+64=154.81818\ldots\).
  6. \(\frac{106^2-96^2}{406}-2^4=\frac{(106-96)(106+96)}{406}-16=\frac{2020}{406}-16=\frac{1010}{203}-16=-\frac{2238}{203}\).
  7. \(\frac{24^3+12^3}{21^2-15^2}+6^{-1}=\frac{6912+1728}{441-225}+\frac16=\frac{8640}{216}+\frac16=40+\frac16=\frac{241}{6}\).
  8. \(\frac{18^3+15^3}{18^2-14^2}+5^{-1}=\frac{5832+3375}{324-196}+\frac15=\frac{9207}{128}+\frac15=72.05625\).

Жауап: 1) −0,755625; 2) \(\frac{127}{60}\); 3) \(\frac{437}{60}\); 4) 113,7; 5) \(\frac{1703}{11}\); 6) \(-\frac{2238}{203}\); 7) \(\frac{241}{6}\); 8) 72,05625.