Solve 12000*0.004/1.004^156-1=

$$\frac{ 12000 \cdot 0.004 }{ { 1.004 }^{ 156 } -1 } =$$

Evaluate

$$\frac{1917614634881924434803035919916513923037193559570097486371698873901212990125670256429725735952082793858274832642629640044206218207197155821409185478167563848536369322054633565835524144915780198061838746070861816406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{34519342297096615514348263391809044979970263175254368187319264457094907999243828573240302722215318001658888763135841395376224101316756781194753330941780031773754629748144958587977736127383871875636874561559818110254655008601439959357513001299041703277140244767643823393216285998502861781369800145466883310688985210347849035206716340033051800691363752120784429004163637304667}\approx 55.551887935$$

Solution Steps

Multiply 12000 and 0.004 to get 48.

$$\frac{48}{1.004^{156}-1}$$

Calculate 1.004 to the power of 156 and get 1.864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096.

$$\frac{48}{1.864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096-1}$$

Subtract 1 from 1.864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096 to get 0.864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096.

$$\frac{48}{0.864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096}$$

Expand \frac{48}{0.864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{48000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096}$$

Reduce the fraction \frac{48000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{864057042599000381719557997558125797790562640459033017341172736209984999378700865312791615215464258236425755990563360375445060814687543252973967182866648926382132452636758963681375630292127824182543892973212960227701904740296504365749581545678341360245262885305318529823849547816816324070403104850419505193019258279323194960591863960490941998530110213532025833230991948641414894920890549705055736385628779469634060685174810336059386404919469038528065902923452667396096} to lowest terms by extracting and canceling out 25031098077198165028066660619174438843000443621367024647816893841666637411491881445581586956288.

$$\frac{1917614634881924434803035919916513923037193559570097486371698873901212990125670256429725735952082793858274832642629640044206218207197155821409185478167563848536369322054633565835524144915780198061838746070861816406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{34519342297096615514348263391809044979970263175254368187319264457094907999243828573240302722215318001658888763135841395376224101316756781194753330941780031773754629748144958587977736127383871875636874561559818110254655008601439959357513001299041703277140244767643823393216285998502861781369800145466883310688985210347849035206716340033051800691363752120784429004163637304667}$$