Solve left(1+0.06div365right)^200=

$${ \left(1+0.06 \div 365 \right) }^{ 200 } =$$

Evaluate

$$\frac{1848633248814456055950775229765876336541635011289619151938908909381421604426445022268975598802489427257731121442629812888844912461457218449547539368314159519912234613470493120613252225505746349725810393662569087806404895865792742415312416144463661827585485969808567008739501162290537523251177178454623431892860289748799738463465247392111373752802436839825787623871760423738127818019921533123242714959832329755835469774914217495816823078324686572189579324297005865829410079438363418590785261160274746127047083044937651226903078001706666886290870081533217058335155811698577405472077199726550886378531875581827793947370797943736587712396866469105643432210962565887970725448650253663462134328772002149256850868006756444409334996445316963237109999923034671355936004796120569463230587857812792704215699662669752969610317024352039615257744476842977169289844001}{1788849312926325341556065988396141838714927213824286434477319443650410742755926215983278525417009521885790844882378512077074591574525385591455819295872648103429384422910569237306788033025458609715379501143802976086511801105601802266432467089082794039512682715245443440397788349324048405739743863501450681803816926747308386751887398995655596877011536034862313748303675182778933345295317559836169081619769364378918004355231200090252150643190906554341941928883892598892415763635011112213318711725792264842241485433530861895375021791187837652744790152890674886719270487654826878345921382366638997020622925409522095772235639188352251949254423379898071289062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 1.033420331$$

Solution Steps

Expand \frac{0.06}{365} by multiplying both numerator and the denominator by 100.

$$\left(1+\frac{6}{36500}\right)^{200}$$

Reduce the fraction \frac{6}{36500} to lowest terms by extracting and canceling out 2.

$$\left(1+\frac{3}{18250}\right)^{200}$$

Add 1 and \frac{3}{18250} to get \frac{18253}{18250}.

$$\left(\frac{18253}{18250}\right)^{200}$$

Calculate \frac{18253}{18250} to the power of 200 and get \frac{1848633248814456055950775229765876336541635011289619151938908909381421604426445022268975598802489427257731121442629812888844912461457218449547539368314159519912234613470493120613252225505746349725810393662569087806404895865792742415312416144463661827585485969808567008739501162290537523251177178454623431892860289748799738463465247392111373752802436839825787623871760423738127818019921533123242714959832329755835469774914217495816823078324686572189579324297005865829410079438363418590785261160274746127047083044937651226903078001706666886290870081533217058335155811698577405472077199726550886378531875581827793947370797943736587712396866469105643432210962565887970725448650253663462134328772002149256850868006756444409334996445316963237109999923034671355936004796120569463230587857812792704215699662669752969610317024352039615257744476842977169289844001}{1788849312926325341556065988396141838714927213824286434477319443650410742755926215983278525417009521885790844882378512077074591574525385591455819295872648103429384422910569237306788033025458609715379501143802976086511801105601802266432467089082794039512682715245443440397788349324048405739743863501450681803816926747308386751887398995655596877011536034862313748303675182778933345295317559836169081619769364378918004355231200090252150643190906554341941928883892598892415763635011112213318711725792264842241485433530861895375021791187837652744790152890674886719270487654826878345921382366638997020622925409522095772235639188352251949254423379898071289062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{1848633248814456055950775229765876336541635011289619151938908909381421604426445022268975598802489427257731121442629812888844912461457218449547539368314159519912234613470493120613252225505746349725810393662569087806404895865792742415312416144463661827585485969808567008739501162290537523251177178454623431892860289748799738463465247392111373752802436839825787623871760423738127818019921533123242714959832329755835469774914217495816823078324686572189579324297005865829410079438363418590785261160274746127047083044937651226903078001706666886290870081533217058335155811698577405472077199726550886378531875581827793947370797943736587712396866469105643432210962565887970725448650253663462134328772002149256850868006756444409334996445316963237109999923034671355936004796120569463230587857812792704215699662669752969610317024352039615257744476842977169289844001}{1788849312926325341556065988396141838714927213824286434477319443650410742755926215983278525417009521885790844882378512077074591574525385591455819295872648103429384422910569237306788033025458609715379501143802976086511801105601802266432467089082794039512682715245443440397788349324048405739743863501450681803816926747308386751887398995655596877011536034862313748303675182778933345295317559836169081619769364378918004355231200090252150643190906554341941928883892598892415763635011112213318711725792264842241485433530861895375021791187837652744790152890674886719270487654826878345921382366638997020622925409522095772235639188352251949254423379898071289062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{18253 ^ {200}}{2 ^ {200} \cdot 5 ^ {600} \cdot 73 ^ {200}} = NaN$$