Вычислите: 1) 2⁴ + (−5)³; 2) (−7)² − (−1)¹⁶; 3) 6 · (−5/8)²; 4) (4³ : 800 + 0,2⁴) : (−0,1)².

1. \(2^4+(-5)^3=16-125=-109\).
2. \((-7)^2-(-1)^{16}=49-1=48\).
3. \(6\cdot\left(-\frac{5}{8}\right)^2=6\cdot\frac{25}{64}=\frac{150}{64}=\frac{75}{32}\).
4. \(\left(4^3:800+0.2^4\right):(-0.1)^2=\left(64:800+0.0016\right):0.01=\left(0.08+0.0016\right):0.01=0.0816:0.01=8.16\).

Ответ: 1) −109; 2) 48; 3) \(\frac{75}{32}\); 4) 8,16.