4. (-2)⁸ ⋅ 5³ _________ 5⁴ ⋅ 2¹⁰ ⋅ 10

4. $$ \frac{(-2)^8 \cdot 5^3}{5^4 \cdot 2^{10} \cdot 10} = \frac{2^8 \cdot 5^3}{5^4 \cdot 2^{10} \cdot 2 \cdot 5} = \frac{2^8 \cdot 5^3}{5^5 \cdot 2^{11}} = \frac{1}{5^2 \cdot 2^3} = \frac{1}{25 \cdot 8} = \frac{1}{200} = 0,005 $$.

Ответ: 0,005