Solve 721.05^186-1/0.05

$$72 \frac{ { 1.05 }^{ 186 } -1 }{ 0.05 }$$

Evaluate

$$12575416.8878243059764290752682838230877409329551680278031411910994975702907894773771021632680722353322569051060034653400527908862041551168478037624051633866818190768686448580688365403677660623267515624052212024603560789151732721571305044152544648998555474102562792995606021818836964349462836048454302900514099219523337615371817778419684386026489164578379131853580474853515625$$

Solution Steps

Calculate 1.05 to the power of 186 and get 8733.928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625.

$$72\times \frac{8733.928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625-1}{0.05}$$

Subtract 1 from 8733.928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625 to get 8732.928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625.

$$72\times \frac{8732.928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625}{0.05}$$

Expand \frac{8732.928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625}{0.05} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$72\times \frac{8732928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625}{50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{8732928394322434705853524491863766033153425663311130418848049374651090479714914845209835602827941202956184101391295375036660337641774386699863723892474574084596581158781151436692041922059765504688585003625835041913943691092550109118405843926711736010796812677971735805973737419233635379363614475993256980145779133565112178598456834700304585172858651276328600943088531494140625}{50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 10195788231247694572984834545713355555783069153232760230872869461671442569683572230035775198209169190022294060327112674713134765625.

$$72\times \frac{856523124672015225993394161709761885743475524730005210082169870386648513567555963351619986338434156494189394595385374897391910082690394999390326094746321812985607808677730663787838903044777873475538254728905016752888798465393956739874176364005721}{4903985730770844346746710486880989387579965190987526963200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Express 72\times \frac{856523124672015225993394161709761885743475524730005210082169870386648513567555963351619986338434156494189394595385374897391910082690394999390326094746321812985607808677730663787838903044777873475538254728905016752888798465393956739874176364005721}{4903985730770844346746710486880989387579965190987526963200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} as a single fraction.

$$\frac{72\times 856523124672015225993394161709761885743475524730005210082169870386648513567555963351619986338434156494189394595385374897391910082690394999390326094746321812985607808677730663787838903044777873475538254728905016752888798465393956739874176364005721}{4903985730770844346746710486880989387579965190987526963200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 72 and 856523124672015225993394161709761885743475524730005210082169870386648513567555963351619986338434156494189394595385374897391910082690394999390326094746321812985607808677730663787838903044777873475538254728905016752888798465393956739874176364005721 to get 61669664976385096271524379643102855773530237780560375125916230667838692976864029361316639016367259267581636410867746992612217525953708439956103478821735170534963762224796607792724401019224006890238754340481161206207993489508364885270940698208411912.

$$\frac{61669664976385096271524379643102855773530237780560375125916230667838692976864029361316639016367259267581636410867746992612217525953708439956103478821735170534963762224796607792724401019224006890238754340481161206207993489508364885270940698208411912}{4903985730770844346746710486880989387579965190987526963200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{61669664976385096271524379643102855773530237780560375125916230667838692976864029361316639016367259267581636410867746992612217525953708439956103478821735170534963762224796607792724401019224006890238754340481161206207993489508364885270940698208411912}{4903985730770844346746710486880989387579965190987526963200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 8.

$$\frac{7708708122048137033940547455387856971691279722570046890739528833479836622108003670164579877045907408447704551358468374076527190744213554994512934852716896316870470278099575974090550127403000861279844292560145150775999186188545610658867587276051489}{612998216346355543343338810860123673447495648873440870400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$