다음을 풀어보세요: 100!/95!*5!*0.05^5*0.95^95+0.564

$$\frac { 100 ! } { 95 ! \times 5 ! } \times 0.05 ^ { 5 } \times 0.95 ^ { 95 } + 0.564$$

계산

$$0.744017827270429150945185532599151455716177933247345457193892611957619921445464926496092373184410660585705696099545748533866430283228929429075876805649834323796998347688713693059980869293212890625$$

해답 단계

100의 계승은 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000입니다.

$$\frac{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}{95!\times 5!}\times 0.05^{5}\times 0.95^{95}+0.564$$

95의 계승은 10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000입니다.

$$\frac{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}{10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000\times 5!}\times 0.05^{5}\times 0.95^{95}+0.564$$

5의 계승은 120입니다.

$$\frac{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}{10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000\times 120}\times 0.05^{5}\times 0.95^{95}+0.564$$

10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000과(와) 120을(를) 곱하여 1239597418588687111511964251927367251447729560814084744305470068548115278511364374984611845046250936227593868423707192882049843200000000000000000000000(을)를 구합니다.

$$\frac{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}{1239597418588687111511964251927367251447729560814084744305470068548115278511364374984611845046250936227593868423707192882049843200000000000000000000000}\times 0.05^{5}\times 0.95^{95}+0.564$$

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000을(를) 1239597418588687111511964251927367251447729560814084744305470068548115278511364374984611845046250936227593868423707192882049843200000000000000000000000(으)로 나눠서 75287520을(를) 구합니다.

$$75287520\times 0.05^{5}\times 0.95^{95}+0.564$$

0.05의 5제곱을 계산하여 0.0000003125을(를) 구합니다.

$$75287520\times 0.0000003125\times 0.95^{95}+0.564$$

75287520과(와) 0.0000003125을(를) 곱하여 23.52735(을)를 구합니다.

$$23.52735\times 0.95^{95}+0.564$$

0.95의 95제곱을 계산하여 0.0076514281153818492497108910522923939889608448570427803043646059567958108943618778356292728753731576478313833091931623635414286047187179783985819399826089348692903513438068330287933349609375을(를) 구합니다.

$$23.52735\times 0.0076514281153818492497108910522923939889608448570427803043646059567958108943618778356292728753731576478313833091931623635414286047187179783985819399826089348692903513438068330287933349609375+0.564$$

23.52735과(와) 0.0076514281153818492497108910522923939889608448570427803043646059567958108943618778356292728753731576478313833091931623635414286047187179783985819399826089348692903513438068330287933349609375을(를) 곱하여 0.180017827270429150945185532599151455716177933247345457193892611957619921445464926496092373184410660585705696099545748533866430283228929429075876805649834323796998347688713693059980869293212890625(을)를 구합니다.

$$0.180017827270429150945185532599151455716177933247345457193892611957619921445464926496092373184410660585705696099545748533866430283228929429075876805649834323796998347688713693059980869293212890625+0.564$$

0.180017827270429150945185532599151455716177933247345457193892611957619921445464926496092373184410660585705696099545748533866430283228929429075876805649834323796998347688713693059980869293212890625과(와) 0.564을(를) 더하여 0.744017827270429150945185532599151455716177933247345457193892611957619921445464926496092373184410660585705696099545748533866430283228929429075876805649834323796998347688713693059980869293212890625을(를) 구합니다.

$$0.744017827270429150945185532599151455716177933247345457193892611957619921445464926496092373184410660585705696099545748533866430283228929429075876805649834323796998347688713693059980869293212890625$$