а) 4 · 5³; б) 3⁴ − (2/5)²; в) −4³ − (−1)¹³; г) 3500 · (−0,1)³; д) (−2/3)³ − (−3)³.

1. \(4\cdot 5^3=4\cdot125=500\).
2. \(3^4-\left(\frac{2}{5}\right)^2=81-\frac{4}{25}=\frac{2025-4}{25}=\frac{2021}{25}=80{,}84\).
3. \(-4^3-(-1)^{13}=-64-(-1)=-63\).
4. \(3500\cdot(-0{,}1)^3=3500\cdot(-0{,}001)=-3{,}5\).
5. \(\left(-\frac{2}{3}\right)^3-(-3)^3=-\frac{8}{27}-(-27)=27-\frac{8}{27}=\frac{721}{27}=26\frac{19}{27}\).

Ответ: а) 500; б) 80,84; в) −63; г) −3,5; д) \(\frac{721}{27}=26\frac{19}{27}\).