Ответ:

1) \(4^3+3^5=64+243=307\).

2) \((-8)^2-(-1)^{10}=64-1=63\).

3) \(7\cdot\left(-\frac{3}{7}\right)^2=7\cdot\frac{9}{49}=\frac{9}{7}\).

4) \((-0.6)^3-(-0.5)^3=-0.216-(-0.125)=-0.091\).

5) \((6^3:400+0.3^3):(-0.1)^2=(216:400+0.027):0.01=(0.54+0.027):0.01=56.7\).

6) \((3.8-4.1)^4\cdot\left(-1\frac{2}{3}\right)^3=(-0.3)^4\cdot\left(-\frac{5}{3}\right)^3=0.0081\cdot\left(-\frac{125}{27}\right)=-\frac{3}{80}\).