Решете 10^210/10^10+3

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

Изчисляване

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

Стъпки на решението

Изчислявате 210 на степен 10 и получавате 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Изчислявате 10 на степен 10 и получавате 10000000000.

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

Съберете 10000000000 и 3, за да се получи 10000000003.

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

Разлагане на множители

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