Решить 10^210/10^10+3

$$\frac { 10 ^ { 210 } } { 10 ^ { 10 } + 3 }$$

Вычислить

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000003}\approx 9,999999997 \cdot 10^{199}$$

Действия по решению

Вычислите 10 в степени 210 и получите 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10^{10}+3}$$

Вычислите 10 в степени 10 и получите 10000000000.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000000+3}$$

Чтобы вычислить 10000000003, сложите 10000000000 и 3.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000003}$$

Разложить на множители

$$\frac{2 ^ {210} \cdot 5 ^ {210}}{7 \cdot 1428571429} = 9,999999997 \times 10^{199}\frac{8080475253}{10000000003} = 9,999999997 \times 10^{199}$$