1-(99/100)^30 పరిష్కరించండి

$$1 - ( \frac { 99 } { 100 } ) ^ { 30 }$$

మూల్యాంకనం చేయండి

$$\frac{260299626611719577269984907683285057747323737647323555652999}{1000000000000000000000000000000000000000000000000000000000000}\approx 0.260299627$$

పరిష్కారం దశలు

30 యొక్క ఘాతంలో \frac{99}{100} ఉంచి గణించి, \frac{739700373388280422730015092316714942252676262352676444347001}{1000000000000000000000000000000000000000000000000000000000000}ని పొందండి.

$$1-\frac{739700373388280422730015092316714942252676262352676444347001}{1000000000000000000000000000000000000000000000000000000000000}$$

1ని భిన్నం \frac{1000000000000000000000000000000000000000000000000000000000000}{1000000000000000000000000000000000000000000000000000000000000} వలె మార్పిడి చేయండి.

$$\frac{1000000000000000000000000000000000000000000000000000000000000}{1000000000000000000000000000000000000000000000000000000000000}-\frac{739700373388280422730015092316714942252676262352676444347001}{1000000000000000000000000000000000000000000000000000000000000}$$

\frac{1000000000000000000000000000000000000000000000000000000000000}{1000000000000000000000000000000000000000000000000000000000000} మరియు \frac{739700373388280422730015092316714942252676262352676444347001}{1000000000000000000000000000000000000000000000000000000000000} ఒకే హారమును కలిగి ఉన్నాయి కనుక, వాటి లవములను వ్యవకలనం చేయడం ద్వారా వాటిని వ్యవకలనం చేయండి.

$$\frac{1000000000000000000000000000000000000000000000000000000000000-739700373388280422730015092316714942252676262352676444347001}{1000000000000000000000000000000000000000000000000000000000000}$$

260299626611719577269984907683285057747323737647323555652999ని పొందడం కోసం 739700373388280422730015092316714942252676262352676444347001ని 1000000000000000000000000000000000000000000000000000000000000 నుండి వ్యవకలనం చేయండి.

$$\frac{260299626611719577269984907683285057747323737647323555652999}{1000000000000000000000000000000000000000000000000000000000000}$$