Solve 100*99*98*97/2*3*4*e^-12*left(1-e^-3right)^96

$$100 \times 99 \times \frac{ 98 \times 97 }{ 2 \times 3 \times 4 } \times { e }^{ -12 } \times { \left(1- { e }^{ -3 } \right) }^{ 96 }$$

Evaluate

$$\frac{3921225\left(e^{3}-1\right)^{96}}{e^{300}}\approx 0.178936066$$

Expand

$$\frac{3921225e^{288}[phone]e^{6}[phone]e^{282}[phone]e^{12}[phone]e^{276}+3635164985852400e^{18}+3635164985852400e^{270}+519958420297816500e^{24}+519958420297816500e^{264}+44231129620000923600e^{30}+44231129620000923600e^{258}+2449466344865202663000e^{36}+2449466344865202663000e^{252}+93833403057143917398000e^{42}+93833403057143917398000e^{246}+2596839429606457913989650e^{48}+2596839429606457913989650e^{240}+53634069265074555609198000e^{54}+53634069265074555609198000e^{234}+847700578963257318391692600e^{60}+847700578963257318391692600e^{228}+10458643506689538343793610000e^{66}+10458643506689538343793610000e^{222}+102350710549161025603574422500e^{72}+102350710549161025603574422500e^{216}+804948972811247942900726842800e^{78}+804948972811247942900726842800e^{210}+5142729548516306301865754829000e^{84}+5142729548516306301865754829000e^{204}+26931351520735967254368251725200e^{90}+26931351520735967254368251725200e^{198}+116467235911247277743185282158375e^{96}+116467235911247277743185282158375e^{192}+418534665948439415205457270644000e^{102}+418534665948439415205457270644000e^{186}+1256268338584918943100824918710800e^{108}+1256268338584918943100824918710800e^{180}+3163008476949226926441621772572000e^{114}+3163008476949226926441621772572000e^{174}+6703144887688553986420513833412200e^{120}+6703144887688553986420513833412200e^{168}+11989364839768145341565146693908000e^{126}+11989364839768145341565146693908000e^{162}+18136132225907205056849603508438000e^{132}+18136132225907205056849603508438000e^{156}+23235276648843433725007318118056800e^{138}+23235276648843433725007318118056800e^{150}+25233345651447877937175500615797500e^{144}-376437600e^{3}-376437600e^{285}-560264628000e^{9}-560264628000e^{279}-239681207858400e^{15}-239681207858400e^{273}-46737835532388000e^{21}-46737835532388000e^{267}-5084037887356428000e^{27}-5084037887356428000e^{261}-345807013392734493600e^{33}-345807013392734493600e^{255}-15827320997590540284000e^{39}-15827320997590540284000e^{249}-512955936712386748442400e^{45}-512955936712386748442400e^{243}-12220420845206860771716000e^{51}-12220420845206860771716000e^{237}-220181968561885017764076000e^{57}-220181968561885017764076000e^{231}-3067868761962264580846125600e^{63}-3067868761962264580846125600e^{225}-33649548673696775540901180000e^{69}-33649548673696775540901180000e^{219}-294770046381583753738294336800e^{75}-294770046381583753738294336800e^{213}-2086904744325457629742625148000e^{81}-2086904744325457629742625148000e^{207}-12058814113762373397478321668000e^{87}-12058814113762373397478321668000e^{201}-57337716140921736735106600447200e^{93}-57337716140921736735106600447200e^{195}-225875851464237144714056304792000e^{99}-225875851464237144714056304792000e^{189}-741404265394378392649667165140800e^{105}-741404265394378392649667165140800e^{183}-2037191900407976664487824192504000e^{111}-2037191900407976664487824192504000e^{177}-4703961324693722095733693918184000e^{117}-4703961324693722095733693918184000e^{171}-9155514968550220079013384748075200e^{123}-9155514968550220079013384748075200e^{165}-15056411659243717405686463290024000e^{129}-15056411659243717405686463290024000e^{159}-20957308349937214732359541831972800e^{135}-20957308349937214732359541831972800e^{153}-24718379413663227367029061827720000e^{141}-24718379413663227367029061827720000e^{147}+3921225}{e^{300}}$$