פתור את 10^210/10^10+3

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

הערך

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000003}\approx 9.999999997 \cdot 10^{199}$$

שלבי פתרון

חשב את 10 בחזקת 210 וקבל 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

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

חשב את 10 בחזקת 10 וקבל 10000000000.

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

חבר את ‎10000000000 ו- ‎3 כדי לקבל ‎10000000003.

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

פרק לגורמים

$$\frac{2 ^ {210} \cdot 5 ^ {210}}{7 \cdot 1428571429} = 9.999999997 \times 10^{199}\frac{8080475253}{10000000003} = 9.999999997 \times 10^{199}$$