Розв'яжіть 10^210/10^10+3

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

Обчислити

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

Покрокове розв’язання

Обчисліть 10 у степені 210 і отримайте 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Обчисліть 10 у степені 10 і отримайте 10000000000.

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

Додайте 10000000000 до 3, щоб обчислити 10000000003.

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

Розкласти на множники

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