Ответ:

  1. \(4^3+3^5=64+243=307\).
  2. \((-8)^2-(-1)^{10}=64-1=63\).
  3. \(7\cdot\left(-\frac37\right)^2=7\cdot\frac9{49}=\frac97\).
  4. \((-0.6)^3-(-0.5)^3=-0.216-(-0.125)=-0.091\).
  5. \((6^3:400+0.2^3):(-0.1)^2=(216:400+0.008):0.01=(0.54+0.008):0.01=54.8\).
  6. \((3.8-4.1)^4\cdot\left(-1\frac23\right)^3=(-0.3)^4\cdot\left(-\frac53\right)^3=0.0081\cdot\left(-\frac{125}{27}\right)=-0.0375\).