Solve 9999^145/10000^146*146

$$\frac{ { 9999 }^{ 145 } }{ { 10000 }^{ 146 } } \times 146$$

Evaluate

$$\frac{719490850008805760921578854540975853403339872332223623145038641267627593158945406806398795322049858128701704461898313082815165575765423620924291386660350861643127374318291319472849141186722661896891672707975087540789617149210302441342375820521100608499197502176047479598158874128145934070965360374823786562632542193493668183131083604714664673163205638215035564157155110323202650355182575694832215258072596359448601164155070320324073611741236840813200750010280306889503112987898701264433921018667635015309655703543608423137086244606821752980811699506704025275152895727643788105849927}{50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 0.014389817$$

Solution Steps

Calculate 9999 to the power of 145 and get 9856039041216517272898340473164052786347121538797583878699159469419556070670485024745188977014381618201393211806826206613906377750211282478414950502196587145796265401620429033874645769681132354751940722027055993709446810263154827963594189322206857650673938385973253145180258549700629233848840553079777898118254002650598194289466898694721433878948022441301857043248700141413734936372364050614139935042090361088337002248699593429096898790975847134427407534387401464239768671067105496773067411214625137196022680870460389358042277323381119903846735609680877058563738297638956001449999.

$$\frac{9856039041216517272898340473164052786347121538797583878699159469419556070670485024745188977014381618201393211806826206613906377750211282478414950502196587145796265401620429033874645769681132354751940722027055993709446810263154827963594189322206857650673938385973253145180258549700629233848840553079777898118254002650598194289466898694721433878948022441301857043248700141413734936372364050614139935042090361088337002248699593429096898790975847134427407534387401464239768671067105496773067411214625137196022680870460389358042277323381119903846735609680877058563738297638956001449999}{10000^{146}}\times 146$$

Calculate 10000 to the power of 146 and get 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{9856039041216517272898340473164052786347121538797583878699159469419556070670485024745188977014381618201393211806826206613906377750211282478414950502196587145796265401620429033874645769681132354751940722027055993709446810263154827963594189322206857650673938385973253145180258549700629233848840553079777898118254002650598194289466898694721433878948022441301857043248700141413734936372364050614139935042090361088337002248699593429096898790975847134427407534387401464239768671067105496773067411214625137196022680870460389358042277323381119903846735609680877058563738297638956001449999}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 146$$

Express \frac{9856039041216517272898340473164052786347121538797583878699159469419556070670485024745188977014381618201393211806826206613906377750211282478414950502196587145796265401620429033874645769681132354751940722027055993709446810263154827963594189322206857650673938385973253145180258549700629233848840553079777898118254002650598194289466898694721433878948022441301857043248700141413734936372364050614139935042090361088337002248699593429096898790975847134427407534387401464239768671067105496773067411214625137196022680870460389358042277323381119903846735609680877058563738297638956001449999}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 146 as a single fraction.

$$\frac{9856039041216517272898340473164052786347121538797583878699159469419556070670485024745188977014381618201393211806826206613906377750211282478414950502196587145796265401620429033874645769681132354751940722027055993709446810263154827963594189322206857650673938385973253145180258549700629233848840553079777898118254002650598194289466898694721433878948022441301857043248700141413734936372364050614139935042090361088337002248699593429096898790975847134427407534387401464239768671067105496773067411214625137196022680870460389358042277323381119903846735609680877058563738297638956001449999\times 146}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 9856039041216517272898340473164052786347121538797583878699159469419556070670485024745188977014381618201393211806826206613906377750211282478414950502196587145796265401620429033874645769681132354751940722027055993709446810263154827963594189322206857650673938385973253145180258549700629233848840553079777898118254002650598194289466898694721433878948022441301857043248700141413734936372364050614139935042090361088337002248699593429096898790975847134427407534387401464239768671067105496773067411214625137196022680870460389358042277323381119903846735609680877058563738297638956001449999 and 146 to get 1438981700017611521843157709081951706806679744664447246290077282535255186317890813612797590644099716257403408923796626165630331151530847241848582773320701723286254748636582638945698282373445323793783345415950175081579234298420604882684751641042201216998395004352094959196317748256291868141930720749647573125265084386987336366262167209429329346326411276430071128314310220646405300710365151389664430516145192718897202328310140640648147223482473681626401500020560613779006225975797402528867842037335270030619311407087216846274172489213643505961623399013408050550305791455287576211699854.

$$\frac{1438981700017611521843157709081951706806679744664447246290077282535255186317890813612797590644099716257403408923796626165630331151530847241848582773320701723286254748636582638945698282373445323793783345415950175081579234298420604882684751641042201216998395004352094959196317748256291868141930720749647573125265084386987336366262167209429329346326411276430071128314310220646405300710365151389664430516145192718897202328310140640648147223482473681626401500020560613779006225975797402528867842037335270030619311407087216846274172489213643505961623399013408050550305791455287576211699854}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{1438981700017611521843157709081951706806679744664447246290077282535255186317890813612797590644099716257403408923796626165630331151530847241848582773320701723286254748636582638945698282373445323793783345415950175081579234298420604882684751641042201216998395004352094959196317748256291868141930720749647573125265084386987336366262167209429329346326411276430071128314310220646405300710365151389664430516145192718897202328310140640648147223482473681626401500020560613779006225975797402528867842037335270030619311407087216846274172489213643505961623399013408050550305791455287576211699854}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{719490850008805760921578854540975853403339872332223623145038641267627593158945406806398795322049858128701704461898313082815165575765423620924291386660350861643127374318291319472849141186722661896891672707975087540789617149210302441342375820521100608499197502176047479598158874128145934070965360374823786562632542193493668183131083604714664673163205638215035564157155110323202650355182575694832215258072596359448601164155070320324073611741236840813200750010280306889503112987898701264433921018667635015309655703543608423137086244606821752980811699506704025275152895727643788105849927}{50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {290} \cdot 11 ^ {145} \cdot 73 \cdot 101 ^ {145}}{2 ^ {583} \cdot 5 ^ {584}} = NaN$$